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Finding the Fourth Proportional to 314,193,168,000.40, 471,289,752,000.55 and 314,193,168,000.40

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Solution

The fourth proportional to 314,193,168,000.40, 471,289,752,000.55 and 314,193,168,000.40 is: 471,289,752,000.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,193,168,000.40 : 471,289,752,000.55 = 314,193,168,000.40 : x
  2. Step 2: Convert to fraction form
    314,193,168,000.40/471,289,752,000.55 = 314,193,168,000.40/x
  3. Step 3: Cross multiply
    314,193,168,000.40x = 471,289,752,000.55 × 314,193,168,000.40
  4. Step 4: Simplify right side
    314,193,168,000.40x = 148,076,020,227,175,673,233,408
  5. Step 5: Solve for x
    x = 148,076,020,227,175,673,233,408/314,193,168,000.40
  6. Step 6: Final answer
    x = 471,289,752,000.55

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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.