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Finding the Fourth Proportional to 754,842,601.60, 1,041,672,858.80 and 415,744,566.50

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Solution

The fourth proportional to 754,842,601.60, 1,041,672,858.80 and 415,744,566.50 is: 573,722,031.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,842,601.60 : 1,041,672,858.80 = 415,744,566.50 : x
  2. Step 2: Convert to fraction form
    754,842,601.60/1,041,672,858.80 = 415,744,566.50/x
  3. Step 3: Cross multiply
    754,842,601.60x = 1,041,672,858.80 × 415,744,566.50
  4. Step 4: Simplify right side
    754,842,601.60x = 433,069,831,119,516,864
  5. Step 5: Solve for x
    x = 433,069,831,119,516,864/754,842,601.60
  6. Step 6: Final answer
    x = 573,722,031.86

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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.