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Finding the Fourth Proportional to 372,877,182,004.77, 559,315,773,007.14 and 372,877,182,004.77

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Solution

The fourth proportional to 372,877,182,004.77, 559,315,773,007.14 and 372,877,182,004.77 is: 559,315,773,007.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,877,182,004.77 : 559,315,773,007.14 = 372,877,182,004.77 : x
  2. Step 2: Convert to fraction form
    372,877,182,004.77/559,315,773,007.14 = 372,877,182,004.77/x
  3. Step 3: Cross multiply
    372,877,182,004.77x = 559,315,773,007.14 × 372,877,182,004.77
  4. Step 4: Simplify right side
    372,877,182,004.77x = 208,556,089,289,721,981,698,048
  5. Step 5: Solve for x
    x = 208,556,089,289,721,981,698,048/372,877,182,004.77
  6. Step 6: Final answer
    x = 559,315,773,007.14

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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.