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Finding the Fourth Proportional to 978,036,148.80, 1,467,054,223.20 and 881,290,267.20

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Solution

The fourth proportional to 978,036,148.80, 1,467,054,223.20 and 881,290,267.20 is: 1,321,935,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,036,148.80 : 1,467,054,223.20 = 881,290,267.20 : x
  2. Step 2: Convert to fraction form
    978,036,148.80/1,467,054,223.20 = 881,290,267.20/x
  3. Step 3: Cross multiply
    978,036,148.80x = 1,467,054,223.20 × 881,290,267.20
  4. Step 4: Simplify right side
    978,036,148.80x = 1,292,900,608,360,816,640
  5. Step 5: Solve for x
    x = 1,292,900,608,360,816,640/978,036,148.80
  6. Step 6: Final answer
    x = 1,321,935,400.80

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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.