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Finding the Fourth Proportional to 1,560,978,045.90, 2,341,467,068.85 and 640,548,477.90

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Solution

The fourth proportional to 1,560,978,045.90, 2,341,467,068.85 and 640,548,477.90 is: 960,822,716.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560,978,045.90 : 2,341,467,068.85 = 640,548,477.90 : x
  2. Step 2: Convert to fraction form
    1,560,978,045.90/2,341,467,068.85 = 640,548,477.90/x
  3. Step 3: Cross multiply
    1,560,978,045.90x = 2,341,467,068.85 × 640,548,477.90
  4. Step 4: Simplify right side
    1,560,978,045.90x = 1,499,823,167,004,841,984
  5. Step 5: Solve for x
    x = 1,499,823,167,004,841,984/1,560,978,045.90
  6. Step 6: Final answer
    x = 960,822,716.85

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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.