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Finding the Fourth Proportional to 420,901,271,999.10, 631,351,907,998.64 and 420,901,271,999.10

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Solution

The fourth proportional to 420,901,271,999.10, 631,351,907,998.64 and 420,901,271,999.10 is: 631,351,907,998.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,901,271,999.10 : 631,351,907,998.64 = 420,901,271,999.10 : x
  2. Step 2: Convert to fraction form
    420,901,271,999.10/631,351,907,998.64 = 420,901,271,999.10/x
  3. Step 3: Cross multiply
    420,901,271,999.10x = 631,351,907,998.64 × 420,901,271,999.10
  4. Step 4: Simplify right side
    420,901,271,999.10x = 265,736,821,155,686,328,041,472
  5. Step 5: Solve for x
    x = 265,736,821,155,686,328,041,472/420,901,271,999.10
  6. Step 6: Final answer
    x = 631,351,907,998.64

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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.