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Finding the Fourth Proportional to 51,805,658,565.70, 77,708,487,848.55 and 51,805,658,565.70

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Solution

The fourth proportional to 51,805,658,565.70, 77,708,487,848.55 and 51,805,658,565.70 is: 77,708,487,848.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,805,658,565.70 : 77,708,487,848.55 = 51,805,658,565.70 : x
  2. Step 2: Convert to fraction form
    51,805,658,565.70/77,708,487,848.55 = 51,805,658,565.70/x
  3. Step 3: Cross multiply
    51,805,658,565.70x = 77,708,487,848.55 × 51,805,658,565.70
  4. Step 4: Simplify right side
    51,805,658,565.70x = 4,025,739,389,138,828,787,712
  5. Step 5: Solve for x
    x = 4,025,739,389,138,828,787,712/51,805,658,565.70
  6. Step 6: Final answer
    x = 77,708,487,848.55

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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.