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Finding the Fourth Proportional to 82,750,464,379.60, 124,125,696,569.40 and 82,750,464,379.60

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Solution

The fourth proportional to 82,750,464,379.60, 124,125,696,569.40 and 82,750,464,379.60 is: 124,125,696,569.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,750,464,379.60 : 124,125,696,569.40 = 82,750,464,379.60 : x
  2. Step 2: Convert to fraction form
    82,750,464,379.60/124,125,696,569.40 = 82,750,464,379.60/x
  3. Step 3: Cross multiply
    82,750,464,379.60x = 124,125,696,569.40 × 82,750,464,379.60
  4. Step 4: Simplify right side
    82,750,464,379.60x = 10,271,459,032,559,173,763,072
  5. Step 5: Solve for x
    x = 10,271,459,032,559,173,763,072/82,750,464,379.60
  6. Step 6: Final answer
    x = 124,125,696,569.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.