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Finding the Fourth Proportional to 542,714,396.67, 748,742,977.67 and 319,559,696.37

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Solution

The fourth proportional to 542,714,396.67, 748,742,977.67 and 319,559,696.37 is: 440,872,915.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,714,396.67 : 748,742,977.67 = 319,559,696.37 : x
  2. Step 2: Convert to fraction form
    542,714,396.67/748,742,977.67 = 319,559,696.37/x
  3. Step 3: Cross multiply
    542,714,396.67x = 748,742,977.67 × 319,559,696.37
  4. Step 4: Simplify right side
    542,714,396.67x = 239,268,078,601,797,088
  5. Step 5: Solve for x
    x = 239,268,078,601,797,088/542,714,396.67
  6. Step 6: Final answer
    x = 440,872,915.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.