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Finding the Fourth Proportional to 42,964,102,447.20, 64,446,153,670.80 and 42,964,102,447.20

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Solution

The fourth proportional to 42,964,102,447.20, 64,446,153,670.80 and 42,964,102,447.20 is: 64,446,153,670.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,964,102,447.20 : 64,446,153,670.80 = 42,964,102,447.20 : x
  2. Step 2: Convert to fraction form
    42,964,102,447.20/64,446,153,670.80 = 42,964,102,447.20/x
  3. Step 3: Cross multiply
    42,964,102,447.20x = 64,446,153,670.80 × 42,964,102,447.20
  4. Step 4: Simplify right side
    42,964,102,447.20x = 2,768,871,148,640,245,645,312
  5. Step 5: Solve for x
    x = 2,768,871,148,640,245,645,312/42,964,102,447.20
  6. Step 6: Final answer
    x = 64,446,153,670.80

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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.