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Finding the Fourth Proportional to 72,648,064,809.80, 108,972,097,214.70 and 72,648,064,809.80

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Solution

The fourth proportional to 72,648,064,809.80, 108,972,097,214.70 and 72,648,064,809.80 is: 108,972,097,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,648,064,809.80 : 108,972,097,214.70 = 72,648,064,809.80 : x
  2. Step 2: Convert to fraction form
    72,648,064,809.80/108,972,097,214.70 = 72,648,064,809.80/x
  3. Step 3: Cross multiply
    72,648,064,809.80x = 108,972,097,214.70 × 72,648,064,809.80
  4. Step 4: Simplify right side
    72,648,064,809.80x = 7,916,611,980,913,351,327,744
  5. Step 5: Solve for x
    x = 7,916,611,980,913,351,327,744/72,648,064,809.80
  6. Step 6: Final answer
    x = 108,972,097,214.70

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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.