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Finding the Fourth Proportional to 398,595,998.70, 597,893,998.05 and 295,283,868.30

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Solution

The fourth proportional to 398,595,998.70, 597,893,998.05 and 295,283,868.30 is: 442,925,802.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,595,998.70 : 597,893,998.05 = 295,283,868.30 : x
  2. Step 2: Convert to fraction form
    398,595,998.70/597,893,998.05 = 295,283,868.30/x
  3. Step 3: Cross multiply
    398,595,998.70x = 597,893,998.05 × 295,283,868.30
  4. Step 4: Simplify right side
    398,595,998.70x = 176,548,452,577,556,640
  5. Step 5: Solve for x
    x = 176,548,452,577,556,640/398,595,998.70
  6. Step 6: Final answer
    x = 442,925,802.45

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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.