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Finding the Fourth Proportional to 57,223,875,775.30, 85,835,813,662.95 and 57,223,875,775.30

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Solution

The fourth proportional to 57,223,875,775.30, 85,835,813,662.95 and 57,223,875,775.30 is: 85,835,813,662.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,223,875,775.30 : 85,835,813,662.95 = 57,223,875,775.30 : x
  2. Step 2: Convert to fraction form
    57,223,875,775.30/85,835,813,662.95 = 57,223,875,775.30/x
  3. Step 3: Cross multiply
    57,223,875,775.30x = 85,835,813,662.95 × 57,223,875,775.30
  4. Step 4: Simplify right side
    57,223,875,775.30x = 4,911,857,938,120,449,196,032
  5. Step 5: Solve for x
    x = 4,911,857,938,120,449,196,032/57,223,875,775.30
  6. Step 6: Final answer
    x = 85,835,813,662.95

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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.