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Finding the Fourth Proportional to 145,210,998.40, 203,446,563.20 and 145,210,998.40

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Solution

The fourth proportional to 145,210,998.40, 203,446,563.20 and 145,210,998.40 is: 203,446,563.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,210,998.40 : 203,446,563.20 = 145,210,998.40 : x
  2. Step 2: Convert to fraction form
    145,210,998.40/203,446,563.20 = 145,210,998.40/x
  3. Step 3: Cross multiply
    145,210,998.40x = 203,446,563.20 × 145,210,998.40
  4. Step 4: Simplify right side
    145,210,998.40x = 29,542,678,563,320,700
  5. Step 5: Solve for x
    x = 29,542,678,563,320,700/145,210,998.40
  6. Step 6: Final answer
    x = 203,446,563.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.