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Finding the Fourth Proportional to 1,868,675,613.15, 2,803,013,419.73 and 1,868,675,613.15

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Solution

The fourth proportional to 1,868,675,613.15, 2,803,013,419.73 and 1,868,675,613.15 is: 2,803,013,419.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868,675,613.15 : 2,803,013,419.73 = 1,868,675,613.15 : x
  2. Step 2: Convert to fraction form
    1,868,675,613.15/2,803,013,419.73 = 1,868,675,613.15/x
  3. Step 3: Cross multiply
    1,868,675,613.15x = 2,803,013,419.73 × 1,868,675,613.15
  4. Step 4: Simplify right side
    1,868,675,613.15x = 5,237,922,820,772,292,608
  5. Step 5: Solve for x
    x = 5,237,922,820,772,292,608/1,868,675,613.15
  6. Step 6: Final answer
    x = 2,803,013,419.73

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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.