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Finding the Fourth Proportional to 176,285,581,411.60, 264,428,372,117.40 and 176,285,581,411.60

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Solution

The fourth proportional to 176,285,581,411.60, 264,428,372,117.40 and 176,285,581,411.60 is: 264,428,372,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,285,581,411.60 : 264,428,372,117.40 = 176,285,581,411.60 : x
  2. Step 2: Convert to fraction form
    176,285,581,411.60/264,428,372,117.40 = 176,285,581,411.60/x
  3. Step 3: Cross multiply
    176,285,581,411.60x = 264,428,372,117.40 × 176,285,581,411.60
  4. Step 4: Simplify right side
    176,285,581,411.60x = 46,614,909,320,438,778,691,584
  5. Step 5: Solve for x
    x = 46,614,909,320,438,778,691,584/176,285,581,411.60
  6. Step 6: Final answer
    x = 264,428,372,117.40

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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.