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Finding the Fourth Proportional to 702,716,748.21, 1,047,792,648.04 and 683,410,041.61

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Solution

The fourth proportional to 702,716,748.21, 1,047,792,648.04 and 683,410,041.61 is: 1,019,005,195.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,716,748.21 : 1,047,792,648.04 = 683,410,041.61 : x
  2. Step 2: Convert to fraction form
    702,716,748.21/1,047,792,648.04 = 683,410,041.61/x
  3. Step 3: Cross multiply
    702,716,748.21x = 1,047,792,648.04 × 683,410,041.61
  4. Step 4: Simplify right side
    702,716,748.21x = 716,072,017,194,210,816
  5. Step 5: Solve for x
    x = 716,072,017,194,210,816/702,716,748.21
  6. Step 6: Final answer
    x = 1,019,005,195.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.