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Finding the Fourth Proportional to 161,418,432,437.80, 242,127,648,656.70 and 161,418,432,437.80

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Solution

The fourth proportional to 161,418,432,437.80, 242,127,648,656.70 and 161,418,432,437.80 is: 242,127,648,656.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,418,432,437.80 : 242,127,648,656.70 = 161,418,432,437.80 : x
  2. Step 2: Convert to fraction form
    161,418,432,437.80/242,127,648,656.70 = 161,418,432,437.80/x
  3. Step 3: Cross multiply
    161,418,432,437.80x = 242,127,648,656.70 × 161,418,432,437.80
  4. Step 4: Simplify right side
    161,418,432,437.80x = 39,083,865,496,014,901,215,232
  5. Step 5: Solve for x
    x = 39,083,865,496,014,901,215,232/161,418,432,437.80
  6. Step 6: Final answer
    x = 242,127,648,656.70

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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.