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Finding the Fourth Proportional to 289,653,608.20, 434,984,297.10 and 153,604,712.20

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Solution

The fourth proportional to 289,653,608.20, 434,984,297.10 and 153,604,712.20 is: 230,674,280.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,653,608.20 : 434,984,297.10 = 153,604,712.20 : x
  2. Step 2: Convert to fraction form
    289,653,608.20/434,984,297.10 = 153,604,712.20/x
  3. Step 3: Cross multiply
    289,653,608.20x = 434,984,297.10 × 153,604,712.20
  4. Step 4: Simplify right side
    289,653,608.20x = 66,815,637,767,564,792
  5. Step 5: Solve for x
    x = 66,815,637,767,564,792/289,653,608.20
  6. Step 6: Final answer
    x = 230,674,280.85

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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.