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Finding the Fourth Proportional to 10,097,381,622.60, 15,146,072,433.90 and 10,097,381,622.60

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Solution

The fourth proportional to 10,097,381,622.60, 15,146,072,433.90 and 10,097,381,622.60 is: 15,146,072,433.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097,381,622.60 : 15,146,072,433.90 = 10,097,381,622.60 : x
  2. Step 2: Convert to fraction form
    10,097,381,622.60/15,146,072,433.90 = 10,097,381,622.60/x
  3. Step 3: Cross multiply
    10,097,381,622.60x = 15,146,072,433.90 × 10,097,381,622.60
  4. Step 4: Simplify right side
    10,097,381,622.60x = 152,935,673,448,630,321,152
  5. Step 5: Solve for x
    x = 152,935,673,448,630,321,152/10,097,381,622.60
  6. Step 6: Final answer
    x = 15,146,072,433.90

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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.