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Finding the Fourth Proportional to 416,030,686.80, 624,046,030.20 and 201,039,838.80

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Solution

The fourth proportional to 416,030,686.80, 624,046,030.20 and 201,039,838.80 is: 301,559,758.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,030,686.80 : 624,046,030.20 = 201,039,838.80 : x
  2. Step 2: Convert to fraction form
    416,030,686.80/624,046,030.20 = 201,039,838.80/x
  3. Step 3: Cross multiply
    416,030,686.80x = 624,046,030.20 × 201,039,838.80
  4. Step 4: Simplify right side
    416,030,686.80x = 125,458,113,315,187,952
  5. Step 5: Solve for x
    x = 125,458,113,315,187,952/416,030,686.80
  6. Step 6: Final answer
    x = 301,559,758.20

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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.