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Finding the Fourth Proportional to 418,220,465.60, 586,113,313.60 and 418,220,465.60

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Solution

The fourth proportional to 418,220,465.60, 586,113,313.60 and 418,220,465.60 is: 586,113,313.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,220,465.60 : 586,113,313.60 = 418,220,465.60 : x
  2. Step 2: Convert to fraction form
    418,220,465.60/586,113,313.60 = 418,220,465.60/x
  3. Step 3: Cross multiply
    418,220,465.60x = 586,113,313.60 × 418,220,465.60
  4. Step 4: Simplify right side
    418,220,465.60x = 245,124,582,908,150,848
  5. Step 5: Solve for x
    x = 245,124,582,908,150,848/418,220,465.60
  6. Step 6: Final answer
    x = 586,113,313.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.