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Finding the Fourth Proportional to 702,716,638, 1,047,792,484.64 and 683,409,931.47

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Solution

The fourth proportional to 702,716,638, 1,047,792,484.64 and 683,409,931.47 is: 1,019,005,031.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,716,638 : 1,047,792,484.64 = 683,409,931.47 : x
  2. Step 2: Convert to fraction form
    702,716,638/1,047,792,484.64 = 683,409,931.47/x
  3. Step 3: Cross multiply
    702,716,638x = 1,047,792,484.64 × 683,409,931.47
  4. Step 4: Simplify right side
    702,716,638x = 716,071,790,122,603,392
  5. Step 5: Solve for x
    x = 716,071,790,122,603,392/702,716,638
  6. Step 6: Final answer
    x = 1,019,005,031.90

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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.