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Finding the Fourth Proportional to 616,149,504,060.80, 922,754,928,014.40 and 616,149,504,060.80

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Solution

The fourth proportional to 616,149,504,060.80, 922,754,928,014.40 and 616,149,504,060.80 is: 922,754,928,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,149,504,060.80 : 922,754,928,014.40 = 616,149,504,060.80 : x
  2. Step 2: Convert to fraction form
    616,149,504,060.80/922,754,928,014.40 = 616,149,504,060.80/x
  3. Step 3: Cross multiply
    616,149,504,060.80x = 922,754,928,014.40 × 616,149,504,060.80
  4. Step 4: Simplify right side
    616,149,504,060.80x = 568,554,991,265,731,810,689,024
  5. Step 5: Solve for x
    x = 568,554,991,265,731,810,689,024/616,149,504,060.80
  6. Step 6: Final answer
    x = 922,754,928,014.40

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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.