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Finding the Fourth Proportional to 299,149,471,672.65, 448,751,792,597.29 and 97,692,262,619.70

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Solution

The fourth proportional to 299,149,471,672.65, 448,751,792,597.29 and 97,692,262,619.70 is: 146,547,402,301.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,149,471,672.65 : 448,751,792,597.29 = 97,692,262,619.70 : x
  2. Step 2: Convert to fraction form
    299,149,471,672.65/448,751,792,597.29 = 97,692,262,619.70/x
  3. Step 3: Cross multiply
    299,149,471,672.65x = 448,751,792,597.29 × 97,692,262,619.70
  4. Step 4: Simplify right side
    299,149,471,672.65x = 43,839,577,973,473,354,448,896
  5. Step 5: Solve for x
    x = 43,839,577,973,473,354,448,896/299,149,471,672.65
  6. Step 6: Final answer
    x = 146,547,402,301.43

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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.