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Finding the Fourth Proportional to 591,892,079.10, 830,009,399.70 and 591,892,079.10

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Solution

The fourth proportional to 591,892,079.10, 830,009,399.70 and 591,892,079.10 is: 830,009,399.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,892,079.10 : 830,009,399.70 = 591,892,079.10 : x
  2. Step 2: Convert to fraction form
    591,892,079.10/830,009,399.70 = 591,892,079.10/x
  3. Step 3: Cross multiply
    591,892,079.10x = 830,009,399.70 × 591,892,079.10
  4. Step 4: Simplify right side
    591,892,079.10x = 491,275,989,260,975,936
  5. Step 5: Solve for x
    x = 491,275,989,260,975,936/591,892,079.10
  6. Step 6: Final answer
    x = 830,009,399.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.