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Finding the Fourth Proportional to 97,055,103,684.35, 145,582,655,526.53 and 97,055,103,684.35

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Solution

The fourth proportional to 97,055,103,684.35, 145,582,655,526.53 and 97,055,103,684.35 is: 145,582,655,526.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,055,103,684.35 : 145,582,655,526.53 = 97,055,103,684.35 : x
  2. Step 2: Convert to fraction form
    97,055,103,684.35/145,582,655,526.53 = 97,055,103,684.35/x
  3. Step 3: Cross multiply
    97,055,103,684.35x = 145,582,655,526.53 × 97,055,103,684.35
  4. Step 4: Simplify right side
    97,055,103,684.35x = 14,129,539,726,770,379,423,744
  5. Step 5: Solve for x
    x = 14,129,539,726,770,379,423,744/97,055,103,684.35
  6. Step 6: Final answer
    x = 145,582,655,526.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.