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Finding the Fourth Proportional to 778,077,014.80, 1,167,115,522.20 and 778,077,014.80

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Solution

The fourth proportional to 778,077,014.80, 1,167,115,522.20 and 778,077,014.80 is: 1,167,115,522.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,077,014.80 : 1,167,115,522.20 = 778,077,014.80 : x
  2. Step 2: Convert to fraction form
    778,077,014.80/1,167,115,522.20 = 778,077,014.80/x
  3. Step 3: Cross multiply
    778,077,014.80x = 1,167,115,522.20 × 778,077,014.80
  4. Step 4: Simplify right side
    778,077,014.80x = 908,105,761,440,119,168
  5. Step 5: Solve for x
    x = 908,105,761,440,119,168/778,077,014.80
  6. Step 6: Final answer
    x = 1,167,115,522.20

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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.