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Finding the Fourth Proportional to 834,978,877.02, 1,152,239,282.46 and 463,724,823.24

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Solution

The fourth proportional to 834,978,877.02, 1,152,239,282.46 and 463,724,823.24 is: 639,922,724.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,978,877.02 : 1,152,239,282.46 = 463,724,823.24 : x
  2. Step 2: Convert to fraction form
    834,978,877.02/1,152,239,282.46 = 463,724,823.24/x
  3. Step 3: Cross multiply
    834,978,877.02x = 1,152,239,282.46 × 463,724,823.24
  4. Step 4: Simplify right side
    834,978,877.02x = 534,321,957,588,947,968
  5. Step 5: Solve for x
    x = 534,321,957,588,947,968/834,978,877.02
  6. Step 6: Final answer
    x = 639,922,724.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.