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Finding the Fourth Proportional to 745,665,677.12, 1,029,026,703.76 and 411,138,846.88

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Solution

The fourth proportional to 745,665,677.12, 1,029,026,703.76 and 411,138,846.88 is: 567,376,057.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,665,677.12 : 1,029,026,703.76 = 411,138,846.88 : x
  2. Step 2: Convert to fraction form
    745,665,677.12/1,029,026,703.76 = 411,138,846.88/x
  3. Step 3: Cross multiply
    745,665,677.12x = 1,029,026,703.76 × 411,138,846.88
  4. Step 4: Simplify right side
    745,665,677.12x = 423,072,852,392,613,760
  5. Step 5: Solve for x
    x = 423,072,852,392,613,760/745,665,677.12
  6. Step 6: Final answer
    x = 567,376,057.90

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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.