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Finding the Fourth Proportional to 459,652,024.10, 689,478,036.15 and 459,652,024.10

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Solution

The fourth proportional to 459,652,024.10, 689,478,036.15 and 459,652,024.10 is: 689,478,036.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,652,024.10 : 689,478,036.15 = 459,652,024.10 : x
  2. Step 2: Convert to fraction form
    459,652,024.10/689,478,036.15 = 459,652,024.10/x
  3. Step 3: Cross multiply
    459,652,024.10x = 689,478,036.15 × 459,652,024.10
  4. Step 4: Simplify right side
    459,652,024.10x = 316,919,974,888,840,448
  5. Step 5: Solve for x
    x = 316,919,974,888,840,448/459,652,024.10
  6. Step 6: Final answer
    x = 689,478,036.15

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