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Finding the Fourth Proportional to 2,758,176,064.20, 4,137,264,096.30 and 2,758,176,064.20

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Solution

The fourth proportional to 2,758,176,064.20, 4,137,264,096.30 and 2,758,176,064.20 is: 4,137,264,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758,176,064.20 : 4,137,264,096.30 = 2,758,176,064.20 : x
  2. Step 2: Convert to fraction form
    2,758,176,064.20/4,137,264,096.30 = 2,758,176,064.20/x
  3. Step 3: Cross multiply
    2,758,176,064.20x = 4,137,264,096.30 × 2,758,176,064.20
  4. Step 4: Simplify right side
    2,758,176,064.20x = 11,411,302,801,688,702,976
  5. Step 5: Solve for x
    x = 11,411,302,801,688,702,976/2,758,176,064.20
  6. Step 6: Final answer
    x = 4,137,264,096.30

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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.