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Finding the Fourth Proportional to 372,877,182,008.20, 559,315,773,012.32 and 372,877,182,008.20

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Solution

The fourth proportional to 372,877,182,008.20, 559,315,773,012.32 and 372,877,182,008.20 is: 559,315,773,012.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,877,182,008.20 : 559,315,773,012.32 = 372,877,182,008.20 : x
  2. Step 2: Convert to fraction form
    372,877,182,008.20/559,315,773,012.32 = 372,877,182,008.20/x
  3. Step 3: Cross multiply
    372,877,182,008.20x = 559,315,773,012.32 × 372,877,182,008.20
  4. Step 4: Simplify right side
    372,877,182,008.20x = 208,556,089,293,571,916,562,432
  5. Step 5: Solve for x
    x = 208,556,089,293,571,916,562,432/372,877,182,008.20
  6. Step 6: Final answer
    x = 559,315,773,012.32

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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.