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Finding the Fourth Proportional to 491,340,375,577.55, 737,010,563,366.32 and 491,340,375,577.55

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Solution

The fourth proportional to 491,340,375,577.55, 737,010,563,366.32 and 491,340,375,577.55 is: 737,010,563,366.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,340,375,577.55 : 737,010,563,366.32 = 491,340,375,577.55 : x
  2. Step 2: Convert to fraction form
    491,340,375,577.55/737,010,563,366.32 = 491,340,375,577.55/x
  3. Step 3: Cross multiply
    491,340,375,577.55x = 737,010,563,366.32 × 491,340,375,577.55
  4. Step 4: Simplify right side
    491,340,375,577.55x = 362,123,047,009,029,367,791,616
  5. Step 5: Solve for x
    x = 362,123,047,009,029,367,791,616/491,340,375,577.55
  6. Step 6: Final answer
    x = 737,010,563,366.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.