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Finding the Fourth Proportional to 280,866,822.30, 421,300,233.45 and 246,854,598.30

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Solution

The fourth proportional to 280,866,822.30, 421,300,233.45 and 246,854,598.30 is: 370,281,897.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,866,822.30 : 421,300,233.45 = 246,854,598.30 : x
  2. Step 2: Convert to fraction form
    280,866,822.30/421,300,233.45 = 246,854,598.30/x
  3. Step 3: Cross multiply
    280,866,822.30x = 421,300,233.45 × 246,854,598.30
  4. Step 4: Simplify right side
    280,866,822.30x = 103,999,899,891,995,968
  5. Step 5: Solve for x
    x = 103,999,899,891,995,968/280,866,822.30
  6. Step 6: Final answer
    x = 370,281,897.45

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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.