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Finding the Fourth Proportional to 12,357,029,141.30, 18,535,543,711.95 and 12,357,029,141.30

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Solution

The fourth proportional to 12,357,029,141.30, 18,535,543,711.95 and 12,357,029,141.30 is: 18,535,543,711.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357,029,141.30 : 18,535,543,711.95 = 12,357,029,141.30 : x
  2. Step 2: Convert to fraction form
    12,357,029,141.30/18,535,543,711.95 = 12,357,029,141.30/x
  3. Step 3: Cross multiply
    12,357,029,141.30x = 18,535,543,711.95 × 12,357,029,141.30
  4. Step 4: Simplify right side
    12,357,029,141.30x = 229,044,253,798,406,127,616
  5. Step 5: Solve for x
    x = 229,044,253,798,406,127,616/12,357,029,141.30
  6. Step 6: Final answer
    x = 18,535,543,711.95

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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.