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Finding the Fourth Proportional to 824,995,205.16, 1,238,037,991.82 and 388,420,741.16

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Solution

The fourth proportional to 824,995,205.16, 1,238,037,991.82 and 388,420,741.16 is: 582,887,792.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,995,205.16 : 1,238,037,991.82 = 388,420,741.16 : x
  2. Step 2: Convert to fraction form
    824,995,205.16/1,238,037,991.82 = 388,420,741.16/x
  3. Step 3: Cross multiply
    824,995,205.16x = 1,238,037,991.82 × 388,420,741.16
  4. Step 4: Simplify right side
    824,995,205.16x = 480,879,634,366,962,432
  5. Step 5: Solve for x
    x = 480,879,634,366,962,432/824,995,205.16
  6. Step 6: Final answer
    x = 582,887,792.99

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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.