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Finding the Fourth Proportional to 960,620,626.64, 1,325,657,598.12 and 520,587,478.64

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Solution

The fourth proportional to 960,620,626.64, 1,325,657,598.12 and 520,587,478.64 is: 718,411,334.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,620,626.64 : 1,325,657,598.12 = 520,587,478.64 : x
  2. Step 2: Convert to fraction form
    960,620,626.64/1,325,657,598.12 = 520,587,478.64/x
  3. Step 3: Cross multiply
    960,620,626.64x = 1,325,657,598.12 × 520,587,478.64
  4. Step 4: Simplify right side
    960,620,626.64x = 690,120,746,545,249,152
  5. Step 5: Solve for x
    x = 690,120,746,545,249,152/960,620,626.64
  6. Step 6: Final answer
    x = 718,411,334.72

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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.