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Finding the Fourth Proportional to 591,890,643.10, 830,007,389.30 and 591,890,643.10

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Solution

The fourth proportional to 591,890,643.10, 830,007,389.30 and 591,890,643.10 is: 830,007,389.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,890,643.10 : 830,007,389.30 = 591,890,643.10 : x
  2. Step 2: Convert to fraction form
    591,890,643.10/830,007,389.30 = 591,890,643.10/x
  3. Step 3: Cross multiply
    591,890,643.10x = 830,007,389.30 × 591,890,643.10
  4. Step 4: Simplify right side
    591,890,643.10x = 491,273,607,430,529,024
  5. Step 5: Solve for x
    x = 491,273,607,430,529,024/591,890,643.10
  6. Step 6: Final answer
    x = 830,007,389.30

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Why These Related Problems?

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