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Finding the Fourth Proportional to 176,020,884,065.80, 264,031,326,098.70 and 176,020,884,065.80

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Solution

The fourth proportional to 176,020,884,065.80, 264,031,326,098.70 and 176,020,884,065.80 is: 264,031,326,098.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,020,884,065.80 : 264,031,326,098.70 = 176,020,884,065.80 : x
  2. Step 2: Convert to fraction form
    176,020,884,065.80/264,031,326,098.70 = 176,020,884,065.80/x
  3. Step 3: Cross multiply
    176,020,884,065.80x = 264,031,326,098.70 × 176,020,884,065.80
  4. Step 4: Simplify right side
    176,020,884,065.80x = 46,475,027,440,958,701,568,000
  5. Step 5: Solve for x
    x = 46,475,027,440,958,701,568,000/176,020,884,065.80
  6. Step 6: Final answer
    x = 264,031,326,098.70

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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.