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Finding the Fourth Proportional to 289,656,435.60, 434,484,653.40 and 257,911,693.20

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Solution

The fourth proportional to 289,656,435.60, 434,484,653.40 and 257,911,693.20 is: 386,867,539.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,656,435.60 : 434,484,653.40 = 257,911,693.20 : x
  2. Step 2: Convert to fraction form
    289,656,435.60/434,484,653.40 = 257,911,693.20/x
  3. Step 3: Cross multiply
    289,656,435.60x = 434,484,653.40 × 257,911,693.20
  4. Step 4: Simplify right side
    289,656,435.60x = 112,058,672,627,809,120
  5. Step 5: Solve for x
    x = 112,058,672,627,809,120/289,656,435.60
  6. Step 6: Final answer
    x = 386,867,539.80

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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.