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Finding the Fourth Proportional to 289,636,703,997.90, 434,455,055,996.85 and 289,636,703,997.90

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Solution

The fourth proportional to 289,636,703,997.90, 434,455,055,996.85 and 289,636,703,997.90 is: 434,455,055,996.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,636,703,997.90 : 434,455,055,996.85 = 289,636,703,997.90 : x
  2. Step 2: Convert to fraction form
    289,636,703,997.90/434,455,055,996.85 = 289,636,703,997.90/x
  3. Step 3: Cross multiply
    289,636,703,997.90x = 434,455,055,996.85 × 289,636,703,997.90
  4. Step 4: Simplify right side
    289,636,703,997.90x = 125,834,130,454,150,719,209,472
  5. Step 5: Solve for x
    x = 125,834,130,454,150,719,209,472/289,636,703,997.90
  6. Step 6: Final answer
    x = 434,455,055,996.85

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1.5x scale

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.