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Finding the Fourth Proportional to 935,793,091.10, 1,406,712,945.45 and 863,233,679.90

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Solution

The fourth proportional to 935,793,091.10, 1,406,712,945.45 and 863,233,679.90 is: 1,297,639,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,793,091.10 : 1,406,712,945.45 = 863,233,679.90 : x
  2. Step 2: Convert to fraction form
    935,793,091.10/1,406,712,945.45 = 863,233,679.90/x
  3. Step 3: Cross multiply
    935,793,091.10x = 1,406,712,945.45 × 863,233,679.90
  4. Step 4: Simplify right side
    935,793,091.10x = 1,214,321,992,463,771,392
  5. Step 5: Solve for x
    x = 1,214,321,992,463,771,392/935,793,091.10
  6. Step 6: Final answer
    x = 1,297,639,407.70

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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.