Home / 206,257,123,459.88-284,634,843,498.60-114,803,705,542.76

Finding the Fourth Proportional to 206,257,123,459.88, 284,634,843,498.60 and 114,803,705,542.76

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Solution

The fourth proportional to 206,257,123,459.88, 284,634,843,498.60 and 114,803,705,542.76 is: 158,429,120,953.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,257,123,459.88 : 284,634,843,498.60 = 114,803,705,542.76 : x
  2. Step 2: Convert to fraction form
    206,257,123,459.88/284,634,843,498.60 = 114,803,705,542.76/x
  3. Step 3: Cross multiply
    206,257,123,459.88x = 284,634,843,498.60 × 114,803,705,542.76
  4. Step 4: Simplify right side
    206,257,123,459.88x = 32,677,134,760,222,845,304,832
  5. Step 5: Solve for x
    x = 32,677,134,760,222,845,304,832/206,257,123,459.88
  6. Step 6: Final answer
    x = 158,429,120,953.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.