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Finding the Fourth Proportional to 459,090,909.40, 688,636,364.10 and 459,090,909.40

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Solution

The fourth proportional to 459,090,909.40, 688,636,364.10 and 459,090,909.40 is: 688,636,364.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,090,909.40 : 688,636,364.10 = 459,090,909.40 : x
  2. Step 2: Convert to fraction form
    459,090,909.40/688,636,364.10 = 459,090,909.40/x
  3. Step 3: Cross multiply
    459,090,909.40x = 688,636,364.10 × 459,090,909.40
  4. Step 4: Simplify right side
    459,090,909.40x = 316,146,694,640,578,496
  5. Step 5: Solve for x
    x = 316,146,694,640,578,496/459,090,909.40
  6. Step 6: Final answer
    x = 688,636,364.10

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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.