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Finding the Fourth Proportional to 1,343,912,704.16, 1,854,504,828.90 and 749,170,880.90

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Solution

The fourth proportional to 1,343,912,704.16, 1,854,504,828.90 and 749,170,880.90 is: 1,033,803,023.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343,912,704.16 : 1,854,504,828.90 = 749,170,880.90 : x
  2. Step 2: Convert to fraction form
    1,343,912,704.16/1,854,504,828.90 = 749,170,880.90/x
  3. Step 3: Cross multiply
    1,343,912,704.16x = 1,854,504,828.90 × 749,170,880.90
  4. Step 4: Simplify right side
    1,343,912,704.16x = 1,389,341,016,300,316,928
  5. Step 5: Solve for x
    x = 1,389,341,016,300,316,928/1,343,912,704.16
  6. Step 6: Final answer
    x = 1,033,803,023.07

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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.