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Finding the Fourth Proportional to 978,714,404.60, 1,468,071,606.90 and 941,091,006.20

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Solution

The fourth proportional to 978,714,404.60, 1,468,071,606.90 and 941,091,006.20 is: 1,411,636,509.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,714,404.60 : 1,468,071,606.90 = 941,091,006.20 : x
  2. Step 2: Convert to fraction form
    978,714,404.60/1,468,071,606.90 = 941,091,006.20/x
  3. Step 3: Cross multiply
    978,714,404.60x = 1,468,071,606.90 × 941,091,006.20
  4. Step 4: Simplify right side
    978,714,404.60x = 1,381,588,985,711,172,096
  5. Step 5: Solve for x
    x = 1,381,588,985,711,172,096/978,714,404.60
  6. Step 6: Final answer
    x = 1,411,636,509.30

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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.