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Finding the Fourth Proportional to 673,986,645.40, 1,010,979,968.10 and 673,986,645.40

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Solution

The fourth proportional to 673,986,645.40, 1,010,979,968.10 and 673,986,645.40 is: 1,010,979,968.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,986,645.40 : 1,010,979,968.10 = 673,986,645.40 : x
  2. Step 2: Convert to fraction form
    673,986,645.40/1,010,979,968.10 = 673,986,645.40/x
  3. Step 3: Cross multiply
    673,986,645.40x = 1,010,979,968.10 × 673,986,645.40
  4. Step 4: Simplify right side
    673,986,645.40x = 681,386,997,266,317,952
  5. Step 5: Solve for x
    x = 681,386,997,266,317,952/673,986,645.40
  6. Step 6: Final answer
    x = 1,010,979,968.10

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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.