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Finding the Fourth Proportional to 1,090,280,744,601.30, 1,635,421,116,902 and 1,090,280,744,601.30

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Solution

The fourth proportional to 1,090,280,744,601.30, 1,635,421,116,902 and 1,090,280,744,601.30 is: 1,635,421,116,902

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090,280,744,601.30 : 1,635,421,116,902 = 1,090,280,744,601.30 : x
  2. Step 2: Convert to fraction form
    1,090,280,744,601.30/1,635,421,116,902 = 1,090,280,744,601.30/x
  3. Step 3: Cross multiply
    1,090,280,744,601.30x = 1,635,421,116,902 × 1,090,280,744,601.30
  4. Step 4: Simplify right side
    1,090,280,744,601.30x = 1,783,068,153,072,602,436,337,664
  5. Step 5: Solve for x
    x = 1,783,068,153,072,602,436,337,664/1,090,280,744,601.30
  6. Step 6: Final answer
    x = 1,635,421,116,902

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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.