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Finding the Fourth Proportional to 459,652,121.60, 689,478,182.40 and 459,652,121.60

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Solution

The fourth proportional to 459,652,121.60, 689,478,182.40 and 459,652,121.60 is: 689,478,182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,652,121.60 : 689,478,182.40 = 459,652,121.60 : x
  2. Step 2: Convert to fraction form
    459,652,121.60/689,478,182.40 = 459,652,121.60/x
  3. Step 3: Cross multiply
    459,652,121.60x = 689,478,182.40 × 459,652,121.60
  4. Step 4: Simplify right side
    459,652,121.60x = 316,920,109,337,071,808
  5. Step 5: Solve for x
    x = 316,920,109,337,071,808/459,652,121.60
  6. Step 6: Final answer
    x = 689,478,182.40

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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.