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Finding the Fourth Proportional to 253,470,816,095.40, 380,206,224,143.10 and 253,470,816,095.40

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Solution

The fourth proportional to 253,470,816,095.40, 380,206,224,143.10 and 253,470,816,095.40 is: 380,206,224,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,470,816,095.40 : 380,206,224,143.10 = 253,470,816,095.40 : x
  2. Step 2: Convert to fraction form
    253,470,816,095.40/380,206,224,143.10 = 253,470,816,095.40/x
  3. Step 3: Cross multiply
    253,470,816,095.40x = 380,206,224,143.10 × 253,470,816,095.40
  4. Step 4: Simplify right side
    253,470,816,095.40x = 96,371,181,918,102,120,038,400
  5. Step 5: Solve for x
    x = 96,371,181,918,102,120,038,400/253,470,816,095.40
  6. Step 6: Final answer
    x = 380,206,224,143.10

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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.