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Finding the Fourth Proportional to 552,440,574,082.20, 828,660,861,123.30 and 552,440,574,082.20

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Solution

The fourth proportional to 552,440,574,082.20, 828,660,861,123.30 and 552,440,574,082.20 is: 828,660,861,123.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,440,574,082.20 : 828,660,861,123.30 = 552,440,574,082.20 : x
  2. Step 2: Convert to fraction form
    552,440,574,082.20/828,660,861,123.30 = 552,440,574,082.20/x
  3. Step 3: Cross multiply
    552,440,574,082.20x = 828,660,861,123.30 × 552,440,574,082.20
  4. Step 4: Simplify right side
    552,440,574,082.20x = 457,785,881,838,406,063,882,240
  5. Step 5: Solve for x
    x = 457,785,881,838,406,063,882,240/552,440,574,082.20
  6. Step 6: Final answer
    x = 828,660,861,123.30

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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.