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Finding the Fourth Proportional to 275,280,579,950.04, 412,920,869,925.06 and 275,280,579,950.04

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Solution

The fourth proportional to 275,280,579,950.04, 412,920,869,925.06 and 275,280,579,950.04 is: 412,920,869,925.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,280,579,950.04 : 412,920,869,925.06 = 275,280,579,950.04 : x
  2. Step 2: Convert to fraction form
    275,280,579,950.04/412,920,869,925.06 = 275,280,579,950.04/x
  3. Step 3: Cross multiply
    275,280,579,950.04x = 412,920,869,925.06 × 275,280,579,950.04
  4. Step 4: Simplify right side
    275,280,579,950.04x = 113,669,096,546,445,545,177,088
  5. Step 5: Solve for x
    x = 113,669,096,546,445,545,177,088/275,280,579,950.04
  6. Step 6: Final answer
    x = 412,920,869,925.06

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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.