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Finding the Fourth Proportional to 346,263,433,305.60, 519,395,149,958.40 and 346,263,433,305.60

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Solution

The fourth proportional to 346,263,433,305.60, 519,395,149,958.40 and 346,263,433,305.60 is: 519,395,149,958.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,263,433,305.60 : 519,395,149,958.40 = 346,263,433,305.60 : x
  2. Step 2: Convert to fraction form
    346,263,433,305.60/519,395,149,958.40 = 346,263,433,305.60/x
  3. Step 3: Cross multiply
    346,263,433,305.60x = 519,395,149,958.40 × 346,263,433,305.60
  4. Step 4: Simplify right side
    346,263,433,305.60x = 179,847,547,866,872,545,280,000
  5. Step 5: Solve for x
    x = 179,847,547,866,872,545,280,000/346,263,433,305.60
  6. Step 6: Final answer
    x = 519,395,149,958.40

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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.