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Finding the Fourth Proportional to 210,069,077.40, 314,536,745.70 and 210,069,077.40

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Solution

The fourth proportional to 210,069,077.40, 314,536,745.70 and 210,069,077.40 is: 314,536,745.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,069,077.40 : 314,536,745.70 = 210,069,077.40 : x
  2. Step 2: Convert to fraction form
    210,069,077.40/314,536,745.70 = 210,069,077.40/x
  3. Step 3: Cross multiply
    210,069,077.40x = 314,536,745.70 × 210,069,077.40
  4. Step 4: Simplify right side
    210,069,077.40x = 66,074,443,977,597,416
  5. Step 5: Solve for x
    x = 66,074,443,977,597,416/210,069,077.40
  6. Step 6: Final answer
    x = 314,536,745.70

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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.