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Finding the Fourth Proportional to 2,503,011,070.95, 3,511,471,440.45 and 2,503,011,070.95

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Solution

The fourth proportional to 2,503,011,070.95, 3,511,471,440.45 and 2,503,011,070.95 is: 3,511,471,440.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503,011,070.95 : 3,511,471,440.45 = 2,503,011,070.95 : x
  2. Step 2: Convert to fraction form
    2,503,011,070.95/3,511,471,440.45 = 2,503,011,070.95/x
  3. Step 3: Cross multiply
    2,503,011,070.95x = 3,511,471,440.45 × 2,503,011,070.95
  4. Step 4: Simplify right side
    2,503,011,070.95x = 8,789,251,890,771,092,480
  5. Step 5: Solve for x
    x = 8,789,251,890,771,092,480/2,503,011,070.95
  6. Step 6: Final answer
    x = 3,511,471,440.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.