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Finding the Fourth Proportional to 1,303,886,596, 1,799,619,108.24 and 747,342,666.40

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Solution

The fourth proportional to 1,303,886,596, 1,799,619,108.24 and 747,342,666.40 is: 1,031,479,384.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303,886,596 : 1,799,619,108.24 = 747,342,666.40 : x
  2. Step 2: Convert to fraction form
    1,303,886,596/1,799,619,108.24 = 747,342,666.40/x
  3. Step 3: Cross multiply
    1,303,886,596x = 1,799,619,108.24 × 747,342,666.40
  4. Step 4: Simplify right side
    1,303,886,596x = 1,344,932,142,856,471,808
  5. Step 5: Solve for x
    x = 1,344,932,142,856,471,808/1,303,886,596
  6. Step 6: Final answer
    x = 1,031,479,384.01

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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.