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Finding the Fourth Proportional to 465,472,590,089.01, 698,208,885,133.50 and 465,472,590,089.01

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Solution

The fourth proportional to 465,472,590,089.01, 698,208,885,133.50 and 465,472,590,089.01 is: 698,208,885,133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,472,590,089.01 : 698,208,885,133.50 = 465,472,590,089.01 : x
  2. Step 2: Convert to fraction form
    465,472,590,089.01/698,208,885,133.50 = 465,472,590,089.01/x
  3. Step 3: Cross multiply
    465,472,590,089.01x = 698,208,885,133.50 × 465,472,590,089.01
  4. Step 4: Simplify right side
    465,472,590,089.01x = 324,997,098,186,250,335,027,200
  5. Step 5: Solve for x
    x = 324,997,098,186,250,335,027,200/465,472,590,089.01
  6. Step 6: Final answer
    x = 698,208,885,133.50

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1.5x scale

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.