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Finding the Fourth Proportional to 932,334,597.12, 1,286,614,492.16 and 514,647,015.68

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Solution

The fourth proportional to 932,334,597.12, 1,286,614,492.16 and 514,647,015.68 is: 710,208,878.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,334,597.12 : 1,286,614,492.16 = 514,647,015.68 : x
  2. Step 2: Convert to fraction form
    932,334,597.12/1,286,614,492.16 = 514,647,015.68/x
  3. Step 3: Cross multiply
    932,334,597.12x = 1,286,614,492.16 × 514,647,015.68
  4. Step 4: Simplify right side
    932,334,597.12x = 662,152,308,720,782,848
  5. Step 5: Solve for x
    x = 662,152,308,720,782,848/932,334,597.12
  6. Step 6: Final answer
    x = 710,208,878.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.