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Finding the Fourth Proportional to 76,937,446,277.20, 115,406,169,415.80 and 76,937,446,277.20

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Solution

The fourth proportional to 76,937,446,277.20, 115,406,169,415.80 and 76,937,446,277.20 is: 115,406,169,415.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,937,446,277.20 : 115,406,169,415.80 = 76,937,446,277.20 : x
  2. Step 2: Convert to fraction form
    76,937,446,277.20/115,406,169,415.80 = 76,937,446,277.20/x
  3. Step 3: Cross multiply
    76,937,446,277.20x = 115,406,169,415.80 × 76,937,446,277.20
  4. Step 4: Simplify right side
    76,937,446,277.20x = 8,879,055,959,485,554,098,176
  5. Step 5: Solve for x
    x = 8,879,055,959,485,554,098,176/76,937,446,277.20
  6. Step 6: Final answer
    x = 115,406,169,415.80

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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.