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Finding the Fourth Proportional to 318,920,804,967.10, 478,381,207,450.65 and 318,920,804,967.10

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Solution

The fourth proportional to 318,920,804,967.10, 478,381,207,450.65 and 318,920,804,967.10 is: 478,381,207,450.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,920,804,967.10 : 478,381,207,450.65 = 318,920,804,967.10 : x
  2. Step 2: Convert to fraction form
    318,920,804,967.10/478,381,207,450.65 = 318,920,804,967.10/x
  3. Step 3: Cross multiply
    318,920,804,967.10x = 478,381,207,450.65 × 318,920,804,967.10
  4. Step 4: Simplify right side
    318,920,804,967.10x = 152,565,719,761,294,559,543,296
  5. Step 5: Solve for x
    x = 152,565,719,761,294,559,543,296/318,920,804,967.10
  6. Step 6: Final answer
    x = 478,381,207,450.65

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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.