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Finding the Fourth Proportional to 918,159,416.70, 1,288,144,161.30 and 918,159,416.70

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Solution

The fourth proportional to 918,159,416.70, 1,288,144,161.30 and 918,159,416.70 is: 1,288,144,161.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,159,416.70 : 1,288,144,161.30 = 918,159,416.70 : x
  2. Step 2: Convert to fraction form
    918,159,416.70/1,288,144,161.30 = 918,159,416.70/x
  3. Step 3: Cross multiply
    918,159,416.70x = 1,288,144,161.30 × 918,159,416.70
  4. Step 4: Simplify right side
    918,159,416.70x = 1,182,721,691,764,718,848
  5. Step 5: Solve for x
    x = 1,182,721,691,764,718,848/918,159,416.70
  6. Step 6: Final answer
    x = 1,288,144,161.30

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.