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Finding the Fourth Proportional to 651,261,617.40, 914,184,911.40 and 651,261,617.40

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Solution

The fourth proportional to 651,261,617.40, 914,184,911.40 and 651,261,617.40 is: 914,184,911.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,261,617.40 : 914,184,911.40 = 651,261,617.40 : x
  2. Step 2: Convert to fraction form
    651,261,617.40/914,184,911.40 = 651,261,617.40/x
  3. Step 3: Cross multiply
    651,261,617.40x = 914,184,911.40 × 651,261,617.40
  4. Step 4: Simplify right side
    651,261,617.40x = 595,373,544,001,039,616
  5. Step 5: Solve for x
    x = 595,373,544,001,039,616/651,261,617.40
  6. Step 6: Final answer
    x = 914,184,911.40

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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.