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Finding the Fourth Proportional to 5,376,625,314.80, 8,064,937,972.24 and 5,376,625,314.80

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Solution

The fourth proportional to 5,376,625,314.80, 8,064,937,972.24 and 5,376,625,314.80 is: 8,064,937,972.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,376,625,314.80 : 8,064,937,972.24 = 5,376,625,314.80 : x
  2. Step 2: Convert to fraction form
    5,376,625,314.80/8,064,937,972.24 = 5,376,625,314.80/x
  3. Step 3: Cross multiply
    5,376,625,314.80x = 8,064,937,972.24 × 5,376,625,314.80
  4. Step 4: Simplify right side
    5,376,625,314.80x = 43,362,149,663,837,364,224
  5. Step 5: Solve for x
    x = 43,362,149,663,837,364,224/5,376,625,314.80
  6. Step 6: Final answer
    x = 8,064,937,972.24

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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.