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Finding the Fourth Proportional to 1,565,255,730.61, 2,160,067,368.48 and 850,792,965.13

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Solution

The fourth proportional to 1,565,255,730.61, 2,160,067,368.48 and 850,792,965.13 is: 1,174,102,151.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565,255,730.61 : 2,160,067,368.48 = 850,792,965.13 : x
  2. Step 2: Convert to fraction form
    1,565,255,730.61/2,160,067,368.48 = 850,792,965.13/x
  3. Step 3: Cross multiply
    1,565,255,730.61x = 2,160,067,368.48 × 850,792,965.13
  4. Step 4: Simplify right side
    1,565,255,730.61x = 1,837,770,121,309,655,552
  5. Step 5: Solve for x
    x = 1,837,770,121,309,655,552/1,565,255,730.61
  6. Step 6: Final answer
    x = 1,174,102,151.73

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1.5x scale

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.