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Finding the Fourth Proportional to 779,408,274.42, 1,075,583,329.47 and 466,142,438.16

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Solution

The fourth proportional to 779,408,274.42, 1,075,583,329.47 and 466,142,438.16 is: 643,276,511.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,408,274.42 : 1,075,583,329.47 = 466,142,438.16 : x
  2. Step 2: Convert to fraction form
    779,408,274.42/1,075,583,329.47 = 466,142,438.16/x
  3. Step 3: Cross multiply
    779,408,274.42x = 1,075,583,329.47 × 466,142,438.16
  4. Step 4: Simplify right side
    779,408,274.42x = 501,375,035,643,396,416
  5. Step 5: Solve for x
    x = 501,375,035,643,396,416/779,408,274.42
  6. Step 6: Final answer
    x = 643,276,511.30

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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.