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Finding the Fourth Proportional to 880,751,718.32, 1,321,642,743.10 and 328,435,715.84

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Solution

The fourth proportional to 880,751,718.32, 1,321,642,743.10 and 328,435,715.84 is: 492,845,681.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,751,718.32 : 1,321,642,743.10 = 328,435,715.84 : x
  2. Step 2: Convert to fraction form
    880,751,718.32/1,321,642,743.10 = 328,435,715.84/x
  3. Step 3: Cross multiply
    880,751,718.32x = 1,321,642,743.10 × 328,435,715.84
  4. Step 4: Simplify right side
    880,751,718.32x = 434,074,680,417,272,704
  5. Step 5: Solve for x
    x = 434,074,680,417,272,704/880,751,718.32
  6. Step 6: Final answer
    x = 492,845,681.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.