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Finding the Fourth Proportional to 935,793,077.10, 1,406,712,924.45 and 863,233,665.90

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Solution

The fourth proportional to 935,793,077.10, 1,406,712,924.45 and 863,233,665.90 is: 1,297,639,386.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,793,077.10 : 1,406,712,924.45 = 863,233,665.90 : x
  2. Step 2: Convert to fraction form
    935,793,077.10/1,406,712,924.45 = 863,233,665.90/x
  3. Step 3: Cross multiply
    935,793,077.10x = 1,406,712,924.45 × 863,233,665.90
  4. Step 4: Simplify right side
    935,793,077.10x = 1,214,321,954,641,883,136
  5. Step 5: Solve for x
    x = 1,214,321,954,641,883,136/935,793,077.10
  6. Step 6: Final answer
    x = 1,297,639,386.70

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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.