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Finding the Fourth Proportional to 191,663,136,000.67, 287,494,704,001.01 and 191,663,136,000.67

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Solution

The fourth proportional to 191,663,136,000.67, 287,494,704,001.01 and 191,663,136,000.67 is: 287,494,704,001.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,663,136,000.67 : 287,494,704,001.01 = 191,663,136,000.67 : x
  2. Step 2: Convert to fraction form
    191,663,136,000.67/287,494,704,001.01 = 191,663,136,000.67/x
  3. Step 3: Cross multiply
    191,663,136,000.67x = 287,494,704,001.01 × 191,663,136,000.67
  4. Step 4: Simplify right side
    191,663,136,000.67x = 55,102,136,552,417,952,530,432
  5. Step 5: Solve for x
    x = 55,102,136,552,417,952,530,432/191,663,136,000.67
  6. Step 6: Final answer
    x = 287,494,704,001.01

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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.