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Finding the Fourth Proportional to 580,608,109.60, 870,912,164.40 and 512,583,661.60

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Solution

The fourth proportional to 580,608,109.60, 870,912,164.40 and 512,583,661.60 is: 768,875,492.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,608,109.60 : 870,912,164.40 = 512,583,661.60 : x
  2. Step 2: Convert to fraction form
    580,608,109.60/870,912,164.40 = 512,583,661.60/x
  3. Step 3: Cross multiply
    580,608,109.60x = 870,912,164.40 × 512,583,661.60
  4. Step 4: Simplify right side
    580,608,109.60x = 446,415,346,160,133,184
  5. Step 5: Solve for x
    x = 446,415,346,160,133,184/580,608,109.60
  6. Step 6: Final answer
    x = 768,875,492.40

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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.