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Finding the Fourth Proportional to 645,105,708,002.02, 967,658,562,003 and 645,105,708,002.02

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Solution

The fourth proportional to 645,105,708,002.02, 967,658,562,003 and 645,105,708,002.02 is: 967,658,562,003.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,105,708,002.02 : 967,658,562,003 = 645,105,708,002.02 : x
  2. Step 2: Convert to fraction form
    645,105,708,002.02/967,658,562,003 = 645,105,708,002.02/x
  3. Step 3: Cross multiply
    645,105,708,002.02x = 967,658,562,003 × 645,105,708,002.02
  4. Step 4: Simplify right side
    645,105,708,002.02x = 624,242,061,745,161,964,093,440
  5. Step 5: Solve for x
    x = 624,242,061,745,161,964,093,440/645,105,708,002.02
  6. Step 6: Final answer
    x = 967,658,562,003.00

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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.