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Finding the Fourth Proportional to 245,529,144,047.20, 368,293,716,070.80 and 245,529,144,047.20

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Solution

The fourth proportional to 245,529,144,047.20, 368,293,716,070.80 and 245,529,144,047.20 is: 368,293,716,070.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,529,144,047.20 : 368,293,716,070.80 = 245,529,144,047.20 : x
  2. Step 2: Convert to fraction form
    245,529,144,047.20/368,293,716,070.80 = 245,529,144,047.20/x
  3. Step 3: Cross multiply
    245,529,144,047.20x = 368,293,716,070.80 × 245,529,144,047.20
  4. Step 4: Simplify right side
    245,529,144,047.20x = 90,426,840,864,826,025,050,112
  5. Step 5: Solve for x
    x = 90,426,840,864,826,025,050,112/245,529,144,047.20
  6. Step 6: Final answer
    x = 368,293,716,070.80

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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.