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Finding the Fourth Proportional to 328,819,828,077.10, 459,355,962,856.10 and 328,819,828,077.10

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Solution

The fourth proportional to 328,819,828,077.10, 459,355,962,856.10 and 328,819,828,077.10 is: 459,355,962,856.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,819,828,077.10 : 459,355,962,856.10 = 328,819,828,077.10 : x
  2. Step 2: Convert to fraction form
    328,819,828,077.10/459,355,962,856.10 = 328,819,828,077.10/x
  3. Step 3: Cross multiply
    328,819,828,077.10x = 459,355,962,856.10 × 328,819,828,077.10
  4. Step 4: Simplify right side
    328,819,828,077.10x = 151,045,348,732,533,519,417,344
  5. Step 5: Solve for x
    x = 151,045,348,732,533,519,417,344/328,819,828,077.10
  6. Step 6: Final answer
    x = 459,355,962,856.10

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.