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Finding the Fourth Proportional to 1,954,403,077.90, 2,931,604,616.85 and 1,954,403,077.90

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Solution

The fourth proportional to 1,954,403,077.90, 2,931,604,616.85 and 1,954,403,077.90 is: 2,931,604,616.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954,403,077.90 : 2,931,604,616.85 = 1,954,403,077.90 : x
  2. Step 2: Convert to fraction form
    1,954,403,077.90/2,931,604,616.85 = 1,954,403,077.90/x
  3. Step 3: Cross multiply
    1,954,403,077.90x = 2,931,604,616.85 × 1,954,403,077.90
  4. Step 4: Simplify right side
    1,954,403,077.90x = 5,729,537,086,357,490,688
  5. Step 5: Solve for x
    x = 5,729,537,086,357,490,688/1,954,403,077.90
  6. Step 6: Final answer
    x = 2,931,604,616.85

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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.