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Finding the Fourth Proportional to 446,897,088,052.20, 670,345,632,078.30 and 446,897,088,052.20

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Solution

The fourth proportional to 446,897,088,052.20, 670,345,632,078.30 and 446,897,088,052.20 is: 670,345,632,078.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,897,088,052.20 : 670,345,632,078.30 = 446,897,088,052.20 : x
  2. Step 2: Convert to fraction form
    446,897,088,052.20/670,345,632,078.30 = 446,897,088,052.20/x
  3. Step 3: Cross multiply
    446,897,088,052.20x = 670,345,632,078.30 × 446,897,088,052.20
  4. Step 4: Simplify right side
    446,897,088,052.20x = 299,575,510,964,303,743,156,224
  5. Step 5: Solve for x
    x = 299,575,510,964,303,743,156,224/446,897,088,052.20
  6. Step 6: Final answer
    x = 670,345,632,078.30

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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.