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Finding the Fourth Proportional to 653,205,202.30, 978,464,110.65 and 330,271,032.70

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Solution

The fourth proportional to 653,205,202.30, 978,464,110.65 and 330,271,032.70 is: 494,727,156.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,205,202.30 : 978,464,110.65 = 330,271,032.70 : x
  2. Step 2: Convert to fraction form
    653,205,202.30/978,464,110.65 = 330,271,032.70/x
  3. Step 3: Cross multiply
    653,205,202.30x = 978,464,110.65 × 330,271,032.70
  4. Step 4: Simplify right side
    653,205,202.30x = 323,158,352,284,262,528
  5. Step 5: Solve for x
    x = 323,158,352,284,262,528/653,205,202.30
  6. Step 6: Final answer
    x = 494,727,156.41

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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.