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Finding the Fourth Proportional to 1,004,048,157.70, 1,506,072,236.55 and 1,004,048,157.70

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Solution

The fourth proportional to 1,004,048,157.70, 1,506,072,236.55 and 1,004,048,157.70 is: 1,506,072,236.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,048,157.70 : 1,506,072,236.55 = 1,004,048,157.70 : x
  2. Step 2: Convert to fraction form
    1,004,048,157.70/1,506,072,236.55 = 1,004,048,157.70/x
  3. Step 3: Cross multiply
    1,004,048,157.70x = 1,506,072,236.55 × 1,004,048,157.70
  4. Step 4: Simplify right side
    1,004,048,157.70x = 1,512,169,054,471,146,240
  5. Step 5: Solve for x
    x = 1,512,169,054,471,146,240/1,004,048,157.70
  6. Step 6: Final answer
    x = 1,506,072,236.55

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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.