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Finding the Fourth Proportional to 897,236,414.80, 1,257,944,966 and 897,236,414.80

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Solution

The fourth proportional to 897,236,414.80, 1,257,944,966 and 897,236,414.80 is: 1,257,944,966

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,236,414.80 : 1,257,944,966 = 897,236,414.80 : x
  2. Step 2: Convert to fraction form
    897,236,414.80/1,257,944,966 = 897,236,414.80/x
  3. Step 3: Cross multiply
    897,236,414.80x = 1,257,944,966 × 897,236,414.80
  4. Step 4: Simplify right side
    897,236,414.80x = 1,128,674,031,309,547,776
  5. Step 5: Solve for x
    x = 1,128,674,031,309,547,776/897,236,414.80
  6. Step 6: Final answer
    x = 1,257,944,966

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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.