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Finding the Fourth Proportional to 932,651,861, 1,287,065,790.54 and 509,268,462.20

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Solution

The fourth proportional to 932,651,861, 1,287,065,790.54 and 509,268,462.20 is: 702,793,875.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,651,861 : 1,287,065,790.54 = 509,268,462.20 : x
  2. Step 2: Convert to fraction form
    932,651,861/1,287,065,790.54 = 509,268,462.20/x
  3. Step 3: Cross multiply
    932,651,861x = 1,287,065,790.54 × 509,268,462.20
  4. Step 4: Simplify right side
    932,651,861x = 655,462,015,898,533,120
  5. Step 5: Solve for x
    x = 655,462,015,898,533,120/932,651,861
  6. Step 6: Final answer
    x = 702,793,875.52

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Why These Related Problems?

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