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Finding the Fourth Proportional to 61,417,686,617.70, 92,126,529,926.55 and 61,417,686,617.70

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Solution

The fourth proportional to 61,417,686,617.70, 92,126,529,926.55 and 61,417,686,617.70 is: 92,126,529,926.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,417,686,617.70 : 92,126,529,926.55 = 61,417,686,617.70 : x
  2. Step 2: Convert to fraction form
    61,417,686,617.70/92,126,529,926.55 = 61,417,686,617.70/x
  3. Step 3: Cross multiply
    61,417,686,617.70x = 92,126,529,926.55 × 61,417,686,617.70
  4. Step 4: Simplify right side
    61,417,686,617.70x = 5,658,198,344,205,008,371,712
  5. Step 5: Solve for x
    x = 5,658,198,344,205,008,371,712/61,417,686,617.70
  6. Step 6: Final answer
    x = 92,126,529,926.55

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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.