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Finding the Fourth Proportional to 289,658,503.20, 434,991,639.60 and 153,609,607.20

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Solution

The fourth proportional to 289,658,503.20, 434,991,639.60 and 153,609,607.20 is: 230,681,627.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,658,503.20 : 434,991,639.60 = 153,609,607.20 : x
  2. Step 2: Convert to fraction form
    289,658,503.20/434,991,639.60 = 153,609,607.20/x
  3. Step 3: Cross multiply
    289,658,503.20x = 434,991,639.60 × 153,609,607.20
  4. Step 4: Simplify right side
    289,658,503.20x = 66,818,894,894,239,960
  5. Step 5: Solve for x
    x = 66,818,894,894,239,960/289,658,503.20
  6. Step 6: Final answer
    x = 230,681,627.35

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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.