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Finding the Fourth Proportional to 867,245,125.74, 1,196,799,803.22 and 470,768,389.86

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Solution

The fourth proportional to 867,245,125.74, 1,196,799,803.22 and 470,768,389.86 is: 649,661,208.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,245,125.74 : 1,196,799,803.22 = 470,768,389.86 : x
  2. Step 2: Convert to fraction form
    867,245,125.74/1,196,799,803.22 = 470,768,389.86/x
  3. Step 3: Cross multiply
    867,245,125.74x = 1,196,799,803.22 × 470,768,389.86
  4. Step 4: Simplify right side
    867,245,125.74x = 563,415,516,346,644,288
  5. Step 5: Solve for x
    x = 563,415,516,346,644,288/867,245,125.74
  6. Step 6: Final answer
    x = 649,661,208.38

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.