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Finding the Fourth Proportional to 838,005,623.10, 1,257,008,434.65 and 838,005,623.10

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Solution

The fourth proportional to 838,005,623.10, 1,257,008,434.65 and 838,005,623.10 is: 1,257,008,434.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,005,623.10 : 1,257,008,434.65 = 838,005,623.10 : x
  2. Step 2: Convert to fraction form
    838,005,623.10/1,257,008,434.65 = 838,005,623.10/x
  3. Step 3: Cross multiply
    838,005,623.10x = 1,257,008,434.65 × 838,005,623.10
  4. Step 4: Simplify right side
    838,005,623.10x = 1,053,380,136,520,828,928
  5. Step 5: Solve for x
    x = 1,053,380,136,520,828,928/838,005,623.10
  6. Step 6: Final answer
    x = 1,257,008,434.65

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Double scale
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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.