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Finding the Fourth Proportional to 32,977,376,028.20, 49,466,064,042.30 and 32,977,376,028.20

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Solution

The fourth proportional to 32,977,376,028.20, 49,466,064,042.30 and 32,977,376,028.20 is: 49,466,064,042.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,977,376,028.20 : 49,466,064,042.30 = 32,977,376,028.20 : x
  2. Step 2: Convert to fraction form
    32,977,376,028.20/49,466,064,042.30 = 32,977,376,028.20/x
  3. Step 3: Cross multiply
    32,977,376,028.20x = 49,466,064,042.30 × 32,977,376,028.20
  4. Step 4: Simplify right side
    32,977,376,028.20x = 1,631,260,994,557,950,033,920
  5. Step 5: Solve for x
    x = 1,631,260,994,557,950,033,920/32,977,376,028.20
  6. Step 6: Final answer
    x = 49,466,064,042.30

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1.5x scale

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.