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Finding the Fourth Proportional to 460,925,117.40, 691,387,676.10 and 460,925,117.40

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Solution

The fourth proportional to 460,925,117.40, 691,387,676.10 and 460,925,117.40 is: 691,387,676.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,925,117.40 : 691,387,676.10 = 460,925,117.40 : x
  2. Step 2: Convert to fraction form
    460,925,117.40/691,387,676.10 = 460,925,117.40/x
  3. Step 3: Cross multiply
    460,925,117.40x = 691,387,676.10 × 460,925,117.40
  4. Step 4: Simplify right side
    460,925,117.40x = 318,677,945,775,305,664
  5. Step 5: Solve for x
    x = 318,677,945,775,305,664/460,925,117.40
  6. Step 6: Final answer
    x = 691,387,676.10

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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.