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Finding the Fourth Proportional to 55,994,854,539.60, 83,992,281,809.40 and 55,994,854,539.60

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Solution

The fourth proportional to 55,994,854,539.60, 83,992,281,809.40 and 55,994,854,539.60 is: 83,992,281,809.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,994,854,539.60 : 83,992,281,809.40 = 55,994,854,539.60 : x
  2. Step 2: Convert to fraction form
    55,994,854,539.60/83,992,281,809.40 = 55,994,854,539.60/x
  3. Step 3: Cross multiply
    55,994,854,539.60x = 83,992,281,809.40 × 55,994,854,539.60
  4. Step 4: Simplify right side
    55,994,854,539.60x = 4,703,135,602,366,443,683,840
  5. Step 5: Solve for x
    x = 4,703,135,602,366,443,683,840/55,994,854,539.60
  6. Step 6: Final answer
    x = 83,992,281,809.40

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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.