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Finding the Fourth Proportional to 457,791,005,655.90, 686,686,508,483.85 and 457,791,005,655.90

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Solution

The fourth proportional to 457,791,005,655.90, 686,686,508,483.85 and 457,791,005,655.90 is: 686,686,508,483.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,791,005,655.90 : 686,686,508,483.85 = 457,791,005,655.90 : x
  2. Step 2: Convert to fraction form
    457,791,005,655.90/686,686,508,483.85 = 457,791,005,655.90/x
  3. Step 3: Cross multiply
    457,791,005,655.90x = 686,686,508,483.85 × 457,791,005,655.90
  4. Step 4: Simplify right side
    457,791,005,655.90x = 314,358,907,289,160,394,997,760
  5. Step 5: Solve for x
    x = 314,358,907,289,160,394,997,760/457,791,005,655.90
  6. Step 6: Final answer
    x = 686,686,508,483.85

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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.