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Finding the Fourth Proportional to 98,658,747.50, 147,920,858.84 and 50,042,856.51

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Solution

The fourth proportional to 98,658,747.50, 147,920,858.84 and 50,042,856.51 is: 75,030,167.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,658,747.50 : 147,920,858.84 = 50,042,856.51 : x
  2. Step 2: Convert to fraction form
    98,658,747.50/147,920,858.84 = 50,042,856.51/x
  3. Step 3: Cross multiply
    98,658,747.50x = 147,920,858.84 × 50,042,856.51
  4. Step 4: Simplify right side
    98,658,747.50x = 7,402,382,313,891,192
  5. Step 5: Solve for x
    x = 7,402,382,313,891,192/98,658,747.50
  6. Step 6: Final answer
    x = 75,030,167.14

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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.