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Finding the Fourth Proportional to 125,987,730,772.05, 188,981,596,158.08 and 125,987,730,772.05

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Solution

The fourth proportional to 125,987,730,772.05, 188,981,596,158.08 and 125,987,730,772.05 is: 188,981,596,158.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,987,730,772.05 : 188,981,596,158.08 = 125,987,730,772.05 : x
  2. Step 2: Convert to fraction form
    125,987,730,772.05/188,981,596,158.08 = 125,987,730,772.05/x
  3. Step 3: Cross multiply
    125,987,730,772.05x = 188,981,596,158.08 × 125,987,730,772.05
  4. Step 4: Simplify right side
    125,987,730,772.05x = 23,809,362,457,636,460,560,384
  5. Step 5: Solve for x
    x = 23,809,362,457,636,460,560,384/125,987,730,772.05
  6. Step 6: Final answer
    x = 188,981,596,158.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.