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Finding the Fourth Proportional to 479,646,378.50, 719,538,199.36 and 147,681,476.27

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Solution

The fourth proportional to 479,646,378.50, 719,538,199.36 and 147,681,476.27 is: 221,543,345.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,646,378.50 : 719,538,199.36 = 147,681,476.27 : x
  2. Step 2: Convert to fraction form
    479,646,378.50/719,538,199.36 = 147,681,476.27/x
  3. Step 3: Cross multiply
    479,646,378.50x = 719,538,199.36 × 147,681,476.27
  4. Step 4: Simplify right side
    479,646,378.50x = 106,262,463,514,142,384
  5. Step 5: Solve for x
    x = 106,262,463,514,142,384/479,646,378.50
  6. Step 6: Final answer
    x = 221,543,345.84

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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.