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Finding the Fourth Proportional to 745,665,641.12, 1,029,026,654.08 and 411,138,810.88

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Solution

The fourth proportional to 745,665,641.12, 1,029,026,654.08 and 411,138,810.88 is: 567,376,008.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,665,641.12 : 1,029,026,654.08 = 411,138,810.88 : x
  2. Step 2: Convert to fraction form
    745,665,641.12/1,029,026,654.08 = 411,138,810.88/x
  3. Step 3: Cross multiply
    745,665,641.12x = 1,029,026,654.08 × 411,138,810.88
  4. Step 4: Simplify right side
    745,665,641.12x = 423,072,794,922,276,288
  5. Step 5: Solve for x
    x = 423,072,794,922,276,288/745,665,641.12
  6. Step 6: Final answer
    x = 567,376,008.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.