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Finding the Fourth Proportional to 314,847,648,460.80, 472,271,472,691.20 and 314,847,648,460.80

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Solution

The fourth proportional to 314,847,648,460.80, 472,271,472,691.20 and 314,847,648,460.80 is: 472,271,472,691.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,847,648,460.80 : 472,271,472,691.20 = 314,847,648,460.80 : x
  2. Step 2: Convert to fraction form
    314,847,648,460.80/472,271,472,691.20 = 314,847,648,460.80/x
  3. Step 3: Cross multiply
    314,847,648,460.80x = 472,271,472,691.20 × 314,847,648,460.80
  4. Step 4: Simplify right side
    314,847,648,460.80x = 148,693,562,611,943,249,805,312
  5. Step 5: Solve for x
    x = 148,693,562,611,943,249,805,312/314,847,648,460.80
  6. Step 6: Final answer
    x = 472,271,472,691.20

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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.