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Finding the Fourth Proportional to 404,486,733.60, 606,730,100.40 and 400,455,655.20

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Solution

The fourth proportional to 404,486,733.60, 606,730,100.40 and 400,455,655.20 is: 600,683,482.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,486,733.60 : 606,730,100.40 = 400,455,655.20 : x
  2. Step 2: Convert to fraction form
    404,486,733.60/606,730,100.40 = 400,455,655.20/x
  3. Step 3: Cross multiply
    404,486,733.60x = 606,730,100.40 × 400,455,655.20
  4. Step 4: Simplify right side
    404,486,733.60x = 242,968,499,885,243,776
  5. Step 5: Solve for x
    x = 242,968,499,885,243,776/404,486,733.60
  6. Step 6: Final answer
    x = 600,683,482.80

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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.