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Finding the Fourth Proportional to 145,292,784,666.60, 217,939,176,999.90 and 145,292,784,666.60

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Solution

The fourth proportional to 145,292,784,666.60, 217,939,176,999.90 and 145,292,784,666.60 is: 217,939,176,999.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,292,784,666.60 : 217,939,176,999.90 = 145,292,784,666.60 : x
  2. Step 2: Convert to fraction form
    145,292,784,666.60/217,939,176,999.90 = 145,292,784,666.60/x
  3. Step 3: Cross multiply
    145,292,784,666.60x = 217,939,176,999.90 × 145,292,784,666.60
  4. Step 4: Simplify right side
    145,292,784,666.60x = 31,664,989,914,262,493,200,384
  5. Step 5: Solve for x
    x = 31,664,989,914,262,493,200,384/145,292,784,666.60
  6. Step 6: Final answer
    x = 217,939,176,999.90

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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.