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Finding the Fourth Proportional to 349,661,654.40, 524,809,742.40 and 177,258,403.20

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Solution

The fourth proportional to 349,661,654.40, 524,809,742.40 and 177,258,403.20 is: 266,048,437.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,661,654.40 : 524,809,742.40 = 177,258,403.20 : x
  2. Step 2: Convert to fraction form
    349,661,654.40/524,809,742.40 = 177,258,403.20/x
  3. Step 3: Cross multiply
    349,661,654.40x = 524,809,742.40 × 177,258,403.20
  4. Step 4: Simplify right side
    349,661,654.40x = 93,026,936,921,627,328
  5. Step 5: Solve for x
    x = 93,026,936,921,627,328/349,661,654.40
  6. Step 6: Final answer
    x = 266,048,437.83

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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.