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Finding the Fourth Proportional to 336,013,548,187.60, 504,020,322,281.40 and 336,013,548,187.60

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Solution

The fourth proportional to 336,013,548,187.60, 504,020,322,281.40 and 336,013,548,187.60 is: 504,020,322,281.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,013,548,187.60 : 504,020,322,281.40 = 336,013,548,187.60 : x
  2. Step 2: Convert to fraction form
    336,013,548,187.60/504,020,322,281.40 = 336,013,548,187.60/x
  3. Step 3: Cross multiply
    336,013,548,187.60x = 504,020,322,281.40 × 336,013,548,187.60
  4. Step 4: Simplify right side
    336,013,548,187.60x = 169,357,656,848,430,880,784,384
  5. Step 5: Solve for x
    x = 169,357,656,848,430,880,784,384/336,013,548,187.60
  6. Step 6: Final answer
    x = 504,020,322,281.40

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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.