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Finding the Fourth Proportional to 341,655,657,645.60, 512,483,486,468.40 and 341,655,657,645.60

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Solution

The fourth proportional to 341,655,657,645.60, 512,483,486,468.40 and 341,655,657,645.60 is: 512,483,486,468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,655,657,645.60 : 512,483,486,468.40 = 341,655,657,645.60 : x
  2. Step 2: Convert to fraction form
    341,655,657,645.60/512,483,486,468.40 = 341,655,657,645.60/x
  3. Step 3: Cross multiply
    341,655,657,645.60x = 512,483,486,468.40 × 341,655,657,645.60
  4. Step 4: Simplify right side
    341,655,657,645.60x = 175,092,882,601,871,161,688,064
  5. Step 5: Solve for x
    x = 175,092,882,601,871,161,688,064/341,655,657,645.60
  6. Step 6: Final answer
    x = 512,483,486,468.40

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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.