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Finding the Fourth Proportional to 314,847,734,587.30, 472,271,601,880.95 and 314,847,734,587.30

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Solution

The fourth proportional to 314,847,734,587.30, 472,271,601,880.95 and 314,847,734,587.30 is: 472,271,601,880.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,847,734,587.30 : 472,271,601,880.95 = 314,847,734,587.30 : x
  2. Step 2: Convert to fraction form
    314,847,734,587.30/472,271,601,880.95 = 314,847,734,587.30/x
  3. Step 3: Cross multiply
    314,847,734,587.30x = 472,271,601,880.95 × 314,847,734,587.30
  4. Step 4: Simplify right side
    314,847,734,587.30x = 148,693,643,962,132,354,564,096
  5. Step 5: Solve for x
    x = 148,693,643,962,132,354,564,096/314,847,734,587.30
  6. Step 6: Final answer
    x = 472,271,601,880.95

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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.