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Finding the Fourth Proportional to 492,076,171.60, 738,220,545.60 and 147,064,674.40

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Solution

The fourth proportional to 492,076,171.60, 738,220,545.60 and 147,064,674.40 is: 220,628,777.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,076,171.60 : 738,220,545.60 = 147,064,674.40 : x
  2. Step 2: Convert to fraction form
    492,076,171.60/738,220,545.60 = 147,064,674.40/x
  3. Step 3: Cross multiply
    492,076,171.60x = 738,220,545.60 × 147,064,674.40
  4. Step 4: Simplify right side
    492,076,171.60x = 108,566,164,174,054,368
  5. Step 5: Solve for x
    x = 108,566,164,174,054,368/492,076,171.60
  6. Step 6: Final answer
    x = 220,628,777.49

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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.