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Finding the Fourth Proportional to 160,775,842,337.35, 241,163,763,506.02 and 160,775,842,337.35

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Solution

The fourth proportional to 160,775,842,337.35, 241,163,763,506.02 and 160,775,842,337.35 is: 241,163,763,506.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,775,842,337.35 : 241,163,763,506.02 = 160,775,842,337.35 : x
  2. Step 2: Convert to fraction form
    160,775,842,337.35/241,163,763,506.02 = 160,775,842,337.35/x
  3. Step 3: Cross multiply
    160,775,842,337.35x = 241,163,763,506.02 × 160,775,842,337.35
  4. Step 4: Simplify right side
    160,775,842,337.35x = 38,773,307,218,925,828,702,208
  5. Step 5: Solve for x
    x = 38,773,307,218,925,828,702,208/160,775,842,337.35
  6. Step 6: Final answer
    x = 241,163,763,506.02

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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.