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Finding the Fourth Proportional to 980,748,874,869.30, 1,471,123,312,304 and 980,748,874,869.30

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Solution

The fourth proportional to 980,748,874,869.30, 1,471,123,312,304 and 980,748,874,869.30 is: 1,471,123,312,304

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,748,874,869.30 : 1,471,123,312,304 = 980,748,874,869.30 : x
  2. Step 2: Convert to fraction form
    980,748,874,869.30/1,471,123,312,304 = 980,748,874,869.30/x
  3. Step 3: Cross multiply
    980,748,874,869.30x = 1,471,123,312,304 × 980,748,874,869.30
  4. Step 4: Simplify right side
    980,748,874,869.30x = 1,442,802,533,336,145,987,633,152
  5. Step 5: Solve for x
    x = 1,442,802,533,336,145,987,633,152/980,748,874,869.30
  6. Step 6: Final answer
    x = 1,471,123,312,304

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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.