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Finding the Fourth Proportional to 521,520,772,643.60, 782,281,158,965.40 and 521,520,772,643.60

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Solution

The fourth proportional to 521,520,772,643.60, 782,281,158,965.40 and 521,520,772,643.60 is: 782,281,158,965.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,520,772,643.60 : 782,281,158,965.40 = 521,520,772,643.60 : x
  2. Step 2: Convert to fraction form
    521,520,772,643.60/782,281,158,965.40 = 521,520,772,643.60/x
  3. Step 3: Cross multiply
    521,520,772,643.60x = 782,281,158,965.40 × 521,520,772,643.60
  4. Step 4: Simplify right side
    521,520,772,643.60x = 407,975,874,448,166,282,592,256
  5. Step 5: Solve for x
    x = 407,975,874,448,166,282,592,256/521,520,772,643.60
  6. Step 6: Final answer
    x = 782,281,158,965.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.