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Finding the Fourth Proportional to 456,365,511.70, 684,548,267.55 and 456,365,511.70

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Solution

The fourth proportional to 456,365,511.70, 684,548,267.55 and 456,365,511.70 is: 684,548,267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,365,511.70 : 684,548,267.55 = 456,365,511.70 : x
  2. Step 2: Convert to fraction form
    456,365,511.70/684,548,267.55 = 456,365,511.70/x
  3. Step 3: Cross multiply
    456,365,511.70x = 684,548,267.55 × 456,365,511.70
  4. Step 4: Simplify right side
    456,365,511.70x = 312,404,220,403,804,224
  5. Step 5: Solve for x
    x = 312,404,220,403,804,224/456,365,511.70
  6. Step 6: Final answer
    x = 684,548,267.55

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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.