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Finding the Fourth Proportional to 1,438,561,271.60, 2,157,841,907.40 and 1,438,561,271.60

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Solution

The fourth proportional to 1,438,561,271.60, 2,157,841,907.40 and 1,438,561,271.60 is: 2,157,841,907.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438,561,271.60 : 2,157,841,907.40 = 1,438,561,271.60 : x
  2. Step 2: Convert to fraction form
    1,438,561,271.60/2,157,841,907.40 = 1,438,561,271.60/x
  3. Step 3: Cross multiply
    1,438,561,271.60x = 2,157,841,907.40 × 1,438,561,271.60
  4. Step 4: Simplify right side
    1,438,561,271.60x = 3,104,187,798,221,113,344
  5. Step 5: Solve for x
    x = 3,104,187,798,221,113,344/1,438,561,271.60
  6. Step 6: Final answer
    x = 2,157,841,907.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.