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Finding the Fourth Proportional to 717,587,715.80, 1,005,303,046.60 and 717,587,715.80

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Solution

The fourth proportional to 717,587,715.80, 1,005,303,046.60 and 717,587,715.80 is: 1,005,303,046.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,587,715.80 : 1,005,303,046.60 = 717,587,715.80 : x
  2. Step 2: Convert to fraction form
    717,587,715.80/1,005,303,046.60 = 717,587,715.80/x
  3. Step 3: Cross multiply
    717,587,715.80x = 1,005,303,046.60 × 717,587,715.80
  4. Step 4: Simplify right side
    717,587,715.80x = 721,393,116,896,474,880
  5. Step 5: Solve for x
    x = 721,393,116,896,474,880/717,587,715.80
  6. Step 6: Final answer
    x = 1,005,303,046.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.