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Finding the Fourth Proportional to 562,464,000.10, 843,696,000.15 and 147,940,020.10

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Solution

The fourth proportional to 562,464,000.10, 843,696,000.15 and 147,940,020.10 is: 221,910,030.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,464,000.10 : 843,696,000.15 = 147,940,020.10 : x
  2. Step 2: Convert to fraction form
    562,464,000.10/843,696,000.15 = 147,940,020.10/x
  3. Step 3: Cross multiply
    562,464,000.10x = 843,696,000.15 × 147,940,020.10
  4. Step 4: Simplify right side
    562,464,000.10x = 124,816,403,220,480,592
  5. Step 5: Solve for x
    x = 124,816,403,220,480,592/562,464,000.10
  6. Step 6: Final answer
    x = 221,910,030.15

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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.