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Finding the Fourth Proportional to 103,643,465,400.90, 155,465,198,101.35 and 103,643,465,400.90

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Solution

The fourth proportional to 103,643,465,400.90, 155,465,198,101.35 and 103,643,465,400.90 is: 155,465,198,101.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,643,465,400.90 : 155,465,198,101.35 = 103,643,465,400.90 : x
  2. Step 2: Convert to fraction form
    103,643,465,400.90/155,465,198,101.35 = 103,643,465,400.90/x
  3. Step 3: Cross multiply
    103,643,465,400.90x = 155,465,198,101.35 × 103,643,465,400.90
  4. Step 4: Simplify right side
    103,643,465,400.90x = 16,112,951,880,461,332,774,912
  5. Step 5: Solve for x
    x = 16,112,951,880,461,332,774,912/103,643,465,400.90
  6. Step 6: Final answer
    x = 155,465,198,101.35

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1.5x scale

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.