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Finding the Fourth Proportional to 977,509,998.80, 1,467,965,609.40 and 518,344,974.80

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Solution

The fourth proportional to 977,509,998.80, 1,467,965,609.40 and 518,344,974.80 is: 778,419,246.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,509,998.80 : 1,467,965,609.40 = 518,344,974.80 : x
  2. Step 2: Convert to fraction form
    977,509,998.80/1,467,965,609.40 = 518,344,974.80/x
  3. Step 3: Cross multiply
    977,509,998.80x = 1,467,965,609.40 × 518,344,974.80
  4. Step 4: Simplify right side
    977,509,998.80x = 760,912,596,811,709,696
  5. Step 5: Solve for x
    x = 760,912,596,811,709,696/977,509,998.80
  6. Step 6: Final answer
    x = 778,419,246.60

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Double scale
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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.