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Finding the Fourth Proportional to 64,357,848,301.30, 96,536,772,451.95 and 64,357,848,301.30

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Solution

The fourth proportional to 64,357,848,301.30, 96,536,772,451.95 and 64,357,848,301.30 is: 96,536,772,451.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,357,848,301.30 : 96,536,772,451.95 = 64,357,848,301.30 : x
  2. Step 2: Convert to fraction form
    64,357,848,301.30/96,536,772,451.95 = 64,357,848,301.30/x
  3. Step 3: Cross multiply
    64,357,848,301.30x = 96,536,772,451.95 × 64,357,848,301.30
  4. Step 4: Simplify right side
    64,357,848,301.30x = 6,212,898,956,959,715,164,160
  5. Step 5: Solve for x
    x = 6,212,898,956,959,715,164,160/64,357,848,301.30
  6. Step 6: Final answer
    x = 96,536,772,451.95

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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.