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Finding the Fourth Proportional to 930,862,169,712.90, 1,396,293,254,569.40 and 930,862,169,712.90

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Solution

The fourth proportional to 930,862,169,712.90, 1,396,293,254,569.40 and 930,862,169,712.90 is: 1,396,293,254,569.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,862,169,712.90 : 1,396,293,254,569.40 = 930,862,169,712.90 : x
  2. Step 2: Convert to fraction form
    930,862,169,712.90/1,396,293,254,569.40 = 930,862,169,712.90/x
  3. Step 3: Cross multiply
    930,862,169,712.90x = 1,396,293,254,569.40 × 930,862,169,712.90
  4. Step 4: Simplify right side
    930,862,169,712.90x = 1,299,756,568,503,958,282,174,464
  5. Step 5: Solve for x
    x = 1,299,756,568,503,958,282,174,464/930,862,169,712.90
  6. Step 6: Final answer
    x = 1,396,293,254,569.40

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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.