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Finding the Fourth Proportional to 735,558,631,000.05, 1,103,337,946,500.10 and 735,558,631,000.05

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Solution

The fourth proportional to 735,558,631,000.05, 1,103,337,946,500.10 and 735,558,631,000.05 is: 1,103,337,946,500.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,558,631,000.05 : 1,103,337,946,500.10 = 735,558,631,000.05 : x
  2. Step 2: Convert to fraction form
    735,558,631,000.05/1,103,337,946,500.10 = 735,558,631,000.05/x
  3. Step 3: Cross multiply
    735,558,631,000.05x = 1,103,337,946,500.10 × 735,558,631,000.05
  4. Step 4: Simplify right side
    735,558,631,000.05x = 811,569,749,458,020,095,492,096
  5. Step 5: Solve for x
    x = 811,569,749,458,020,095,492,096/735,558,631,000.05
  6. Step 6: Final answer
    x = 1,103,337,946,500.10

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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.