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Finding the Fourth Proportional to 23,184,041,830.80, 34,776,062,746.20 and 23,184,041,830.80

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Solution

The fourth proportional to 23,184,041,830.80, 34,776,062,746.20 and 23,184,041,830.80 is: 34,776,062,746.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,184,041,830.80 : 34,776,062,746.20 = 23,184,041,830.80 : x
  2. Step 2: Convert to fraction form
    23,184,041,830.80/34,776,062,746.20 = 23,184,041,830.80/x
  3. Step 3: Cross multiply
    23,184,041,830.80x = 34,776,062,746.20 × 23,184,041,830.80
  4. Step 4: Simplify right side
    23,184,041,830.80x = 806,249,693,418,426,204,160
  5. Step 5: Solve for x
    x = 806,249,693,418,426,204,160/23,184,041,830.80
  6. Step 6: Final answer
    x = 34,776,062,746.20

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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.