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Finding the Fourth Proportional to 470,455,220.40, 705,682,830.60 and 452,598,802.80

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Solution

The fourth proportional to 470,455,220.40, 705,682,830.60 and 452,598,802.80 is: 678,898,204.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,455,220.40 : 705,682,830.60 = 452,598,802.80 : x
  2. Step 2: Convert to fraction form
    470,455,220.40/705,682,830.60 = 452,598,802.80/x
  3. Step 3: Cross multiply
    470,455,220.40x = 705,682,830.60 × 452,598,802.80
  4. Step 4: Simplify right side
    470,455,220.40x = 319,391,204,286,075,200
  5. Step 5: Solve for x
    x = 319,391,204,286,075,200/470,455,220.40
  6. Step 6: Final answer
    x = 678,898,204.20

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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.