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Finding the Fourth Proportional to 664,302,803.40, 996,454,205.10 and 660,476,428.20

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Solution

The fourth proportional to 664,302,803.40, 996,454,205.10 and 660,476,428.20 is: 990,714,642.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,302,803.40 : 996,454,205.10 = 660,476,428.20 : x
  2. Step 2: Convert to fraction form
    664,302,803.40/996,454,205.10 = 660,476,428.20/x
  3. Step 3: Cross multiply
    664,302,803.40x = 996,454,205.10 × 660,476,428.20
  4. Step 4: Simplify right side
    664,302,803.40x = 658,134,514,249,318,272
  5. Step 5: Solve for x
    x = 658,134,514,249,318,272/664,302,803.40
  6. Step 6: Final answer
    x = 990,714,642.30

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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.