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Finding the Fourth Proportional to 1,016,709,691.86, 1,524,368,308.86 and 517,754,370.69

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Solution

The fourth proportional to 1,016,709,691.86, 1,524,368,308.86 and 517,754,370.69 is: 776,277,004.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,709,691.86 : 1,524,368,308.86 = 517,754,370.69 : x
  2. Step 2: Convert to fraction form
    1,016,709,691.86/1,524,368,308.86 = 517,754,370.69/x
  3. Step 3: Cross multiply
    1,016,709,691.86x = 1,524,368,308.86 × 517,754,370.69
  4. Step 4: Simplify right side
    1,016,709,691.86x = 789,248,354,453,588,736
  5. Step 5: Solve for x
    x = 789,248,354,453,588,736/1,016,709,691.86
  6. Step 6: Final answer
    x = 776,277,004.90

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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.