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Finding the Fourth Proportional to 838,123,297.60, 1,257,184,946.40 and 838,123,297.60

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Solution

The fourth proportional to 838,123,297.60, 1,257,184,946.40 and 838,123,297.60 is: 1,257,184,946.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,123,297.60 : 1,257,184,946.40 = 838,123,297.60 : x
  2. Step 2: Convert to fraction form
    838,123,297.60/1,257,184,946.40 = 838,123,297.60/x
  3. Step 3: Cross multiply
    838,123,297.60x = 1,257,184,946.40 × 838,123,297.60
  4. Step 4: Simplify right side
    838,123,297.60x = 1,053,675,992,969,847,296
  5. Step 5: Solve for x
    x = 1,053,675,992,969,847,296/838,123,297.60
  6. Step 6: Final answer
    x = 1,257,184,946.40

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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.