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Finding the Fourth Proportional to 42,809,666,838.15, 64,214,500,257.23 and 42,809,666,838.15

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Solution

The fourth proportional to 42,809,666,838.15, 64,214,500,257.23 and 42,809,666,838.15 is: 64,214,500,257.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,809,666,838.15 : 64,214,500,257.23 = 42,809,666,838.15 : x
  2. Step 2: Convert to fraction form
    42,809,666,838.15/64,214,500,257.23 = 42,809,666,838.15/x
  3. Step 3: Cross multiply
    42,809,666,838.15x = 64,214,500,257.23 × 42,809,666,838.15
  4. Step 4: Simplify right side
    42,809,666,838.15x = 2,749,001,362,190,099,808,256
  5. Step 5: Solve for x
    x = 2,749,001,362,190,099,808,256/42,809,666,838.15
  6. Step 6: Final answer
    x = 64,214,500,257.23

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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.