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Finding the Fourth Proportional to 935,792,693.60, 1,403,689,040.40 and 863,233,282.40

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Solution

The fourth proportional to 935,792,693.60, 1,403,689,040.40 and 863,233,282.40 is: 1,294,849,923.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,792,693.60 : 1,403,689,040.40 = 863,233,282.40 : x
  2. Step 2: Convert to fraction form
    935,792,693.60/1,403,689,040.40 = 863,233,282.40/x
  3. Step 3: Cross multiply
    935,792,693.60x = 1,403,689,040.40 × 863,233,282.40
  4. Step 4: Simplify right side
    935,792,693.60x = 1,211,711,097,813,398,272
  5. Step 5: Solve for x
    x = 1,211,711,097,813,398,272/935,792,693.60
  6. Step 6: Final answer
    x = 1,294,849,923.60

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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.