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Finding the Fourth Proportional to 754,842,392.82, 1,041,672,569.48 and 415,744,356.71

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Solution

The fourth proportional to 754,842,392.82, 1,041,672,569.48 and 415,744,356.71 is: 573,721,741.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,842,392.82 : 1,041,672,569.48 = 415,744,356.71 : x
  2. Step 2: Convert to fraction form
    754,842,392.82/1,041,672,569.48 = 415,744,356.71/x
  3. Step 3: Cross multiply
    754,842,392.82x = 1,041,672,569.48 × 415,744,356.71
  4. Step 4: Simplify right side
    754,842,392.82x = 433,069,492,302,979,072
  5. Step 5: Solve for x
    x = 433,069,492,302,979,072/754,842,392.82
  6. Step 6: Final answer
    x = 573,721,741.68

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Why These Related Problems?

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