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Finding the Fourth Proportional to 834,336,743.90, 1,170,490,088.50 and 834,336,743.90

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Solution

The fourth proportional to 834,336,743.90, 1,170,490,088.50 and 834,336,743.90 is: 1,170,490,088.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,336,743.90 : 1,170,490,088.50 = 834,336,743.90 : x
  2. Step 2: Convert to fraction form
    834,336,743.90/1,170,490,088.50 = 834,336,743.90/x
  3. Step 3: Cross multiply
    834,336,743.90x = 1,170,490,088.50 × 834,336,743.90
  4. Step 4: Simplify right side
    834,336,743.90x = 976,582,889,206,312,832
  5. Step 5: Solve for x
    x = 976,582,889,206,312,832/834,336,743.90
  6. Step 6: Final answer
    x = 1,170,490,088.50

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