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Finding the Fourth Proportional to 584,319,561,775.20, 876,479,342,662.80 and 584,319,561,775.20

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Solution

The fourth proportional to 584,319,561,775.20, 876,479,342,662.80 and 584,319,561,775.20 is: 876,479,342,662.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,319,561,775.20 : 876,479,342,662.80 = 584,319,561,775.20 : x
  2. Step 2: Convert to fraction form
    584,319,561,775.20/876,479,342,662.80 = 584,319,561,775.20/x
  3. Step 3: Cross multiply
    584,319,561,775.20x = 876,479,342,662.80 × 584,319,561,775.20
  4. Step 4: Simplify right side
    584,319,561,775.20x = 512,144,025,409,742,637,629,440
  5. Step 5: Solve for x
    x = 512,144,025,409,742,637,629,440/584,319,561,775.20
  6. Step 6: Final answer
    x = 876,479,342,662.80

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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.