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Finding the Fourth Proportional to 64,065,307,529.80, 96,097,961,294.70 and 64,065,307,529.80

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Solution

The fourth proportional to 64,065,307,529.80, 96,097,961,294.70 and 64,065,307,529.80 is: 96,097,961,294.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,065,307,529.80 : 96,097,961,294.70 = 64,065,307,529.80 : x
  2. Step 2: Convert to fraction form
    64,065,307,529.80/96,097,961,294.70 = 64,065,307,529.80/x
  3. Step 3: Cross multiply
    64,065,307,529.80x = 96,097,961,294.70 × 64,065,307,529.80
  4. Step 4: Simplify right side
    64,065,307,529.80x = 6,156,545,443,331,773,038,592
  5. Step 5: Solve for x
    x = 6,156,545,443,331,773,038,592/64,065,307,529.80
  6. Step 6: Final answer
    x = 96,097,961,294.70

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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.