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Finding the Fourth Proportional to 713,356,066.35, 996,657,759.45 and 713,356,066.35

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Solution

The fourth proportional to 713,356,066.35, 996,657,759.45 and 713,356,066.35 is: 996,657,759.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,356,066.35 : 996,657,759.45 = 713,356,066.35 : x
  2. Step 2: Convert to fraction form
    713,356,066.35/996,657,759.45 = 713,356,066.35/x
  3. Step 3: Cross multiply
    713,356,066.35x = 996,657,759.45 × 713,356,066.35
  4. Step 4: Simplify right side
    713,356,066.35x = 710,971,858,778,456,576
  5. Step 5: Solve for x
    x = 710,971,858,778,456,576/713,356,066.35
  6. Step 6: Final answer
    x = 996,657,759.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.