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Finding the Fourth Proportional to 569,754,400.80, 799,470,146.40 and 569,754,400.80

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Solution

The fourth proportional to 569,754,400.80, 799,470,146.40 and 569,754,400.80 is: 799,470,146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,754,400.80 : 799,470,146.40 = 569,754,400.80 : x
  2. Step 2: Convert to fraction form
    569,754,400.80/799,470,146.40 = 569,754,400.80/x
  3. Step 3: Cross multiply
    569,754,400.80x = 799,470,146.40 × 569,754,400.80
  4. Step 4: Simplify right side
    569,754,400.80x = 455,501,634,219,620,224
  5. Step 5: Solve for x
    x = 455,501,634,219,620,224/569,754,400.80
  6. Step 6: Final answer
    x = 799,470,146.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.