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Finding the Fourth Proportional to 226,934,784,281.40, 340,402,176,422.10 and 226,934,784,281.40

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Solution

The fourth proportional to 226,934,784,281.40, 340,402,176,422.10 and 226,934,784,281.40 is: 340,402,176,422.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,934,784,281.40 : 340,402,176,422.10 = 226,934,784,281.40 : x
  2. Step 2: Convert to fraction form
    226,934,784,281.40/340,402,176,422.10 = 226,934,784,281.40/x
  3. Step 3: Cross multiply
    226,934,784,281.40x = 340,402,176,422.10 × 226,934,784,281.40
  4. Step 4: Simplify right side
    226,934,784,281.40x = 77,249,094,475,268,325,638,144
  5. Step 5: Solve for x
    x = 77,249,094,475,268,325,638,144/226,934,784,281.40
  6. Step 6: Final answer
    x = 340,402,176,422.10

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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.