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Finding the Fourth Proportional to 295,031,007.70, 442,546,511.55 and 295,031,007.70

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Solution

The fourth proportional to 295,031,007.70, 442,546,511.55 and 295,031,007.70 is: 442,546,511.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,031,007.70 : 442,546,511.55 = 295,031,007.70 : x
  2. Step 2: Convert to fraction form
    295,031,007.70/442,546,511.55 = 295,031,007.70/x
  3. Step 3: Cross multiply
    295,031,007.70x = 442,546,511.55 × 295,031,007.70
  4. Step 4: Simplify right side
    295,031,007.70x = 130,564,943,256,716,192
  5. Step 5: Solve for x
    x = 130,564,943,256,716,192/295,031,007.70
  6. Step 6: Final answer
    x = 442,546,511.55

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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.