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Finding the Fourth Proportional to 1,322,508,470.82, 1,824,650,820.09 and 750,197,200.50

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Solution

The fourth proportional to 1,322,508,470.82, 1,824,650,820.09 and 750,197,200.50 is: 1,035,039,069.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322,508,470.82 : 1,824,650,820.09 = 750,197,200.50 : x
  2. Step 2: Convert to fraction form
    1,322,508,470.82/1,824,650,820.09 = 750,197,200.50/x
  3. Step 3: Cross multiply
    1,322,508,470.82x = 1,824,650,820.09 × 750,197,200.50
  4. Step 4: Simplify right side
    1,322,508,470.82x = 1,368,847,937,121,547,008
  5. Step 5: Solve for x
    x = 1,368,847,937,121,547,008/1,322,508,470.82
  6. Step 6: Final answer
    x = 1,035,039,069.56

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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.