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Finding the Fourth Proportional to 314,847,734,580.55, 472,271,601,870.82 and 314,847,734,580.55

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Solution

The fourth proportional to 314,847,734,580.55, 472,271,601,870.82 and 314,847,734,580.55 is: 472,271,601,870.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,847,734,580.55 : 472,271,601,870.82 = 314,847,734,580.55 : x
  2. Step 2: Convert to fraction form
    314,847,734,580.55/472,271,601,870.82 = 314,847,734,580.55/x
  3. Step 3: Cross multiply
    314,847,734,580.55x = 472,271,601,870.82 × 314,847,734,580.55
  4. Step 4: Simplify right side
    314,847,734,580.55x = 148,693,643,955,755,116,658,688
  5. Step 5: Solve for x
    x = 148,693,643,955,755,116,658,688/314,847,734,580.55
  6. Step 6: Final answer
    x = 472,271,601,870.82

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1.5x scale

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.