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Finding the Fourth Proportional to 586,710,863,999.55, 880,066,295,999.27 and 586,710,863,999.55

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Solution

The fourth proportional to 586,710,863,999.55, 880,066,295,999.27 and 586,710,863,999.55 is: 880,066,295,999.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,710,863,999.55 : 880,066,295,999.27 = 586,710,863,999.55 : x
  2. Step 2: Convert to fraction form
    586,710,863,999.55/880,066,295,999.27 = 586,710,863,999.55/x
  3. Step 3: Cross multiply
    586,710,863,999.55x = 880,066,295,999.27 × 586,710,863,999.55
  4. Step 4: Simplify right side
    586,710,863,999.55x = 516,344,456,902,615,454,711,808
  5. Step 5: Solve for x
    x = 516,344,456,902,615,454,711,808/586,710,863,999.55
  6. Step 6: Final answer
    x = 880,066,295,999.27

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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.