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Finding the Fourth Proportional to 1,160,985,458.40, 1,629,971,292 and 1,160,985,458.40

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Solution

The fourth proportional to 1,160,985,458.40, 1,629,971,292 and 1,160,985,458.40 is: 1,629,971,292

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160,985,458.40 : 1,629,971,292 = 1,160,985,458.40 : x
  2. Step 2: Convert to fraction form
    1,160,985,458.40/1,629,971,292 = 1,160,985,458.40/x
  3. Step 3: Cross multiply
    1,160,985,458.40x = 1,629,971,292 × 1,160,985,458.40
  4. Step 4: Simplify right side
    1,160,985,458.40x = 1,892,372,967,621,460,480
  5. Step 5: Solve for x
    x = 1,892,372,967,621,460,480/1,160,985,458.40
  6. Step 6: Final answer
    x = 1,629,971,292

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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.