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Finding the Fourth Proportional to 91,864,701,140.30, 137,797,051,710.43 and 91,864,701,140.30

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Solution

The fourth proportional to 91,864,701,140.30, 137,797,051,710.43 and 91,864,701,140.30 is: 137,797,051,710.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,864,701,140.30 : 137,797,051,710.43 = 91,864,701,140.30 : x
  2. Step 2: Convert to fraction form
    91,864,701,140.30/137,797,051,710.43 = 91,864,701,140.30/x
  3. Step 3: Cross multiply
    91,864,701,140.30x = 137,797,051,710.43 × 91,864,701,140.30
  4. Step 4: Simplify right side
    91,864,701,140.30x = 12,658,684,973,393,117,184,000
  5. Step 5: Solve for x
    x = 12,658,684,973,393,117,184,000/91,864,701,140.30
  6. Step 6: Final answer
    x = 137,797,051,710.43

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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.