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Finding the Fourth Proportional to 416,030,688.30, 624,046,032.45 and 201,039,840.30

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Solution

The fourth proportional to 416,030,688.30, 624,046,032.45 and 201,039,840.30 is: 301,559,760.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,030,688.30 : 624,046,032.45 = 201,039,840.30 : x
  2. Step 2: Convert to fraction form
    416,030,688.30/624,046,032.45 = 201,039,840.30/x
  3. Step 3: Cross multiply
    416,030,688.30x = 624,046,032.45 × 201,039,840.30
  4. Step 4: Simplify right side
    416,030,688.30x = 125,458,114,703,596,640
  5. Step 5: Solve for x
    x = 125,458,114,703,596,640/416,030,688.30
  6. Step 6: Final answer
    x = 301,559,760.45

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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.