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Finding the Fourth Proportional to 459,746,585.60, 689,955,801.60 and 323,697,689.60

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Solution

The fourth proportional to 459,746,585.60, 689,955,801.60 and 323,697,689.60 is: 485,783,050.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,746,585.60 : 689,955,801.60 = 323,697,689.60 : x
  2. Step 2: Convert to fraction form
    459,746,585.60/689,955,801.60 = 323,697,689.60/x
  3. Step 3: Cross multiply
    459,746,585.60x = 689,955,801.60 × 323,697,689.60
  4. Step 4: Simplify right side
    459,746,585.60x = 223,337,098,904,036,000
  5. Step 5: Solve for x
    x = 223,337,098,904,036,000/459,746,585.60
  6. Step 6: Final answer
    x = 485,783,050.71

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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.