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Finding the Fourth Proportional to 14,378,502,403.20, 21,567,753,604.80 and 14,378,502,403.20

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Solution

The fourth proportional to 14,378,502,403.20, 21,567,753,604.80 and 14,378,502,403.20 is: 21,567,753,604.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,378,502,403.20 : 21,567,753,604.80 = 14,378,502,403.20 : x
  2. Step 2: Convert to fraction form
    14,378,502,403.20/21,567,753,604.80 = 14,378,502,403.20/x
  3. Step 3: Cross multiply
    14,378,502,403.20x = 21,567,753,604.80 × 14,378,502,403.20
  4. Step 4: Simplify right side
    14,378,502,403.20x = 310,111,997,038,242,299,904
  5. Step 5: Solve for x
    x = 310,111,997,038,242,299,904/14,378,502,403.20
  6. Step 6: Final answer
    x = 21,567,753,604.80

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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.