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Finding the Fourth Proportional to 161,523,072,025.60, 242,284,608,038.40 and 161,523,072,025.60

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Solution

The fourth proportional to 161,523,072,025.60, 242,284,608,038.40 and 161,523,072,025.60 is: 242,284,608,038.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,523,072,025.60 : 242,284,608,038.40 = 161,523,072,025.60 : x
  2. Step 2: Convert to fraction form
    161,523,072,025.60/242,284,608,038.40 = 161,523,072,025.60/x
  3. Step 3: Cross multiply
    161,523,072,025.60x = 242,284,608,038.40 × 161,523,072,025.60
  4. Step 4: Simplify right side
    161,523,072,025.60x = 39,134,554,194,880,747,274,240
  5. Step 5: Solve for x
    x = 39,134,554,194,880,747,274,240/161,523,072,025.60
  6. Step 6: Final answer
    x = 242,284,608,038.40

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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.