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Finding the Fourth Proportional to 12,357,029,123.30, 18,535,543,684.95 and 12,357,029,123.30

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Solution

The fourth proportional to 12,357,029,123.30, 18,535,543,684.95 and 12,357,029,123.30 is: 18,535,543,684.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357,029,123.30 : 18,535,543,684.95 = 12,357,029,123.30 : x
  2. Step 2: Convert to fraction form
    12,357,029,123.30/18,535,543,684.95 = 12,357,029,123.30/x
  3. Step 3: Cross multiply
    12,357,029,123.30x = 18,535,543,684.95 × 12,357,029,123.30
  4. Step 4: Simplify right side
    12,357,029,123.30x = 229,044,253,131,126,538,240
  5. Step 5: Solve for x
    x = 229,044,253,131,126,538,240/12,357,029,123.30
  6. Step 6: Final answer
    x = 18,535,543,684.95

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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.