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Finding the Fourth Proportional to 768,733,769.56, 1,154,940,223.40 and 492,925,354.81

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Solution

The fourth proportional to 768,733,769.56, 1,154,940,223.40 and 492,925,354.81 is: 740,567,595.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,733,769.56 : 1,154,940,223.40 = 492,925,354.81 : x
  2. Step 2: Convert to fraction form
    768,733,769.56/1,154,940,223.40 = 492,925,354.81/x
  3. Step 3: Cross multiply
    768,733,769.56x = 1,154,940,223.40 × 492,925,354.81
  4. Step 4: Simplify right side
    768,733,769.56x = 569,299,319,403,785,728
  5. Step 5: Solve for x
    x = 569,299,319,403,785,728/768,733,769.56
  6. Step 6: Final answer
    x = 740,567,595.63

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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.