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Finding the Fourth Proportional to 161,703,856,009.20, 242,555,784,013.84 and 161,703,856,009.20

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Solution

The fourth proportional to 161,703,856,009.20, 242,555,784,013.84 and 161,703,856,009.20 is: 242,555,784,013.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,703,856,009.20 : 242,555,784,013.84 = 161,703,856,009.20 : x
  2. Step 2: Convert to fraction form
    161,703,856,009.20/242,555,784,013.84 = 161,703,856,009.20/x
  3. Step 3: Cross multiply
    161,703,856,009.20x = 242,555,784,013.84 × 161,703,856,009.20
  4. Step 4: Simplify right side
    161,703,856,009.20x = 39,222,205,572,372,599,144,448
  5. Step 5: Solve for x
    x = 39,222,205,572,372,599,144,448/161,703,856,009.20
  6. Step 6: Final answer
    x = 242,555,784,013.84

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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.