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Finding the Fourth Proportional to 465,048,595.80, 697,572,893.70 and 310,080,400.20

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Solution

The fourth proportional to 465,048,595.80, 697,572,893.70 and 310,080,400.20 is: 465,120,600.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,048,595.80 : 697,572,893.70 = 310,080,400.20 : x
  2. Step 2: Convert to fraction form
    465,048,595.80/697,572,893.70 = 310,080,400.20/x
  3. Step 3: Cross multiply
    465,048,595.80x = 697,572,893.70 × 310,080,400.20
  4. Step 4: Simplify right side
    465,048,595.80x = 216,303,682,047,168,064
  5. Step 5: Solve for x
    x = 216,303,682,047,168,064/465,048,595.80
  6. Step 6: Final answer
    x = 465,120,600.30

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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.