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Finding the Fourth Proportional to 410,988,798.45, 616,423,409.82 and 119,777,731.02

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Solution

The fourth proportional to 410,988,798.45, 616,423,409.82 and 119,777,731.02 is: 179,649,172.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,988,798.45 : 616,423,409.82 = 119,777,731.02 : x
  2. Step 2: Convert to fraction form
    410,988,798.45/616,423,409.82 = 119,777,731.02/x
  3. Step 3: Cross multiply
    410,988,798.45x = 616,423,409.82 × 119,777,731.02
  4. Step 4: Simplify right side
    410,988,798.45x = 73,833,797,375,851,184
  5. Step 5: Solve for x
    x = 73,833,797,375,851,184/410,988,798.45
  6. Step 6: Final answer
    x = 179,649,172.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.