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Finding the Fourth Proportional to 463,678,891.40, 695,518,337.10 and 348,037,329.80

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Solution

The fourth proportional to 463,678,891.40, 695,518,337.10 and 348,037,329.80 is: 522,055,994.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,678,891.40 : 695,518,337.10 = 348,037,329.80 : x
  2. Step 2: Convert to fraction form
    463,678,891.40/695,518,337.10 = 348,037,329.80/x
  3. Step 3: Cross multiply
    463,678,891.40x = 695,518,337.10 × 348,037,329.80
  4. Step 4: Simplify right side
    463,678,891.40x = 242,066,344,871,220,288
  5. Step 5: Solve for x
    x = 242,066,344,871,220,288/463,678,891.40
  6. Step 6: Final answer
    x = 522,055,994.70

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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.