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Finding the Fourth Proportional to 492,048,210.40, 738,072,315.60 and 200,818,542.40

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Solution

The fourth proportional to 492,048,210.40, 738,072,315.60 and 200,818,542.40 is: 301,227,813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,048,210.40 : 738,072,315.60 = 200,818,542.40 : x
  2. Step 2: Convert to fraction form
    492,048,210.40/738,072,315.60 = 200,818,542.40/x
  3. Step 3: Cross multiply
    492,048,210.40x = 738,072,315.60 × 200,818,542.40
  4. Step 4: Simplify right side
    492,048,210.40x = 148,218,606,604,584,800
  5. Step 5: Solve for x
    x = 148,218,606,604,584,800/492,048,210.40
  6. Step 6: Final answer
    x = 301,227,813.60

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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.