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Finding the Fourth Proportional to 128,968,848,043.65, 193,453,272,065.47 and 128,968,848,043.65

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Solution

The fourth proportional to 128,968,848,043.65, 193,453,272,065.47 and 128,968,848,043.65 is: 193,453,272,065.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,968,848,043.65 : 193,453,272,065.47 = 128,968,848,043.65 : x
  2. Step 2: Convert to fraction form
    128,968,848,043.65/193,453,272,065.47 = 128,968,848,043.65/x
  3. Step 3: Cross multiply
    128,968,848,043.65x = 193,453,272,065.47 × 128,968,848,043.65
  4. Step 4: Simplify right side
    128,968,848,043.65x = 24,949,445,648,558,478,852,096
  5. Step 5: Solve for x
    x = 24,949,445,648,558,478,852,096/128,968,848,043.65
  6. Step 6: Final answer
    x = 193,453,272,065.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.