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Finding the Fourth Proportional to 940,564,488.61, 1,296,774,082.05 and 770,391,820.18

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Solution

The fourth proportional to 940,564,488.61, 1,296,774,082.05 and 770,391,820.18 is: 1,062,153,799.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,564,488.61 : 1,296,774,082.05 = 770,391,820.18 : x
  2. Step 2: Convert to fraction form
    940,564,488.61/1,296,774,082.05 = 770,391,820.18/x
  3. Step 3: Cross multiply
    940,564,488.61x = 1,296,774,082.05 × 770,391,820.18
  4. Step 4: Simplify right side
    940,564,488.61x = 999,024,145,432,748,032
  5. Step 5: Solve for x
    x = 999,024,145,432,748,032/940,564,488.61
  6. Step 6: Final answer
    x = 1,062,153,799.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.