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Finding the Fourth Proportional to 280,482,846.40, 420,724,269.60 and 188,649,841.60

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Solution

The fourth proportional to 280,482,846.40, 420,724,269.60 and 188,649,841.60 is: 282,974,762.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,482,846.40 : 420,724,269.60 = 188,649,841.60 : x
  2. Step 2: Convert to fraction form
    280,482,846.40/420,724,269.60 = 188,649,841.60/x
  3. Step 3: Cross multiply
    280,482,846.40x = 420,724,269.60 × 188,649,841.60
  4. Step 4: Simplify right side
    280,482,846.40x = 79,369,566,817,315,696
  5. Step 5: Solve for x
    x = 79,369,566,817,315,696/280,482,846.40
  6. Step 6: Final answer
    x = 282,974,762.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.