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Finding the Fourth Proportional to 395,720,064,038.40, 593,580,096,057.60 and 395,720,064,038.40

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Solution

The fourth proportional to 395,720,064,038.40, 593,580,096,057.60 and 395,720,064,038.40 is: 593,580,096,057.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,720,064,038.40 : 593,580,096,057.60 = 395,720,064,038.40 : x
  2. Step 2: Convert to fraction form
    395,720,064,038.40/593,580,096,057.60 = 395,720,064,038.40/x
  3. Step 3: Cross multiply
    395,720,064,038.40x = 593,580,096,057.60 × 395,720,064,038.40
  4. Step 4: Simplify right side
    395,720,064,038.40x = 234,891,553,623,833,093,079,040
  5. Step 5: Solve for x
    x = 234,891,553,623,833,093,079,040/395,720,064,038.40
  6. Step 6: Final answer
    x = 593,580,096,057.60

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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.