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Finding the Fourth Proportional to 289,886,658.50, 400,043,588.74 and 159,506,466.50

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Solution

The fourth proportional to 289,886,658.50, 400,043,588.74 and 159,506,466.50 is: 220,118,923.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,886,658.50 : 400,043,588.74 = 159,506,466.50 : x
  2. Step 2: Convert to fraction form
    289,886,658.50/400,043,588.74 = 159,506,466.50/x
  3. Step 3: Cross multiply
    289,886,658.50x = 400,043,588.74 × 159,506,466.50
  4. Step 4: Simplify right side
    289,886,658.50x = 63,809,539,285,896,592
  5. Step 5: Solve for x
    x = 63,809,539,285,896,592/289,886,658.50
  6. Step 6: Final answer
    x = 220,118,923.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.