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Finding the Fourth Proportional to 978,777,746.10, 1,468,166,619.15 and 941,154,347.70

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Solution

The fourth proportional to 978,777,746.10, 1,468,166,619.15 and 941,154,347.70 is: 1,411,731,521.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,777,746.10 : 1,468,166,619.15 = 941,154,347.70 : x
  2. Step 2: Convert to fraction form
    978,777,746.10/1,468,166,619.15 = 941,154,347.70/x
  3. Step 3: Cross multiply
    978,777,746.10x = 1,468,166,619.15 × 941,154,347.70
  4. Step 4: Simplify right side
    978,777,746.10x = 1,381,771,396,761,032,704
  5. Step 5: Solve for x
    x = 1,381,771,396,761,032,704/978,777,746.10
  6. Step 6: Final answer
    x = 1,411,731,521.55

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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.