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Finding the Fourth Proportional to 459,962,187,719.40, 689,943,281,579.10 and 459,962,187,719.40

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Solution

The fourth proportional to 459,962,187,719.40, 689,943,281,579.10 and 459,962,187,719.40 is: 689,943,281,579.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,962,187,719.40 : 689,943,281,579.10 = 459,962,187,719.40 : x
  2. Step 2: Convert to fraction form
    459,962,187,719.40/689,943,281,579.10 = 459,962,187,719.40/x
  3. Step 3: Cross multiply
    459,962,187,719.40x = 689,943,281,579.10 × 459,962,187,719.40
  4. Step 4: Simplify right side
    459,962,187,719.40x = 317,347,821,197,424,861,380,608
  5. Step 5: Solve for x
    x = 317,347,821,197,424,861,380,608/459,962,187,719.40
  6. Step 6: Final answer
    x = 689,943,281,579.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.