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Finding the Fourth Proportional to 459,090,904.65, 688,636,356.98 and 459,090,904.65

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Solution

The fourth proportional to 459,090,904.65, 688,636,356.98 and 459,090,904.65 is: 688,636,356.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,090,904.65 : 688,636,356.98 = 459,090,904.65 : x
  2. Step 2: Convert to fraction form
    459,090,904.65/688,636,356.98 = 459,090,904.65/x
  3. Step 3: Cross multiply
    459,090,904.65x = 688,636,356.98 × 459,090,904.65
  4. Step 4: Simplify right side
    459,090,904.65x = 316,146,688,098,533,056
  5. Step 5: Solve for x
    x = 316,146,688,098,533,056/459,090,904.65
  6. Step 6: Final answer
    x = 688,636,356.98

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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.