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Finding the Fourth Proportional to 503,896,019.40, 755,730,596.70 and 180,779,891.40

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Solution

The fourth proportional to 503,896,019.40, 755,730,596.70 and 180,779,891.40 is: 271,129,141.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,896,019.40 : 755,730,596.70 = 180,779,891.40 : x
  2. Step 2: Convert to fraction form
    503,896,019.40/755,730,596.70 = 180,779,891.40/x
  3. Step 3: Cross multiply
    503,896,019.40x = 755,730,596.70 × 180,779,891.40
  4. Step 4: Simplify right side
    503,896,019.40x = 136,620,895,199,083,216
  5. Step 5: Solve for x
    x = 136,620,895,199,083,216/503,896,019.40
  6. Step 6: Final answer
    x = 271,129,141.61

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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.