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Finding the Fourth Proportional to 906,593,721.60, 1,359,890,582.40 and 709,322,822.40

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Solution

The fourth proportional to 906,593,721.60, 1,359,890,582.40 and 709,322,822.40 is: 1,063,984,233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,593,721.60 : 1,359,890,582.40 = 709,322,822.40 : x
  2. Step 2: Convert to fraction form
    906,593,721.60/1,359,890,582.40 = 709,322,822.40/x
  3. Step 3: Cross multiply
    906,593,721.60x = 1,359,890,582.40 × 709,322,822.40
  4. Step 4: Simplify right side
    906,593,721.60x = 964,601,426,063,147,776
  5. Step 5: Solve for x
    x = 964,601,426,063,147,776/906,593,721.60
  6. Step 6: Final answer
    x = 1,063,984,233.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.