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Finding the Fourth Proportional to 97,386,586,543.20, 146,079,879,814.80 and 97,386,586,543.20

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Solution

The fourth proportional to 97,386,586,543.20, 146,079,879,814.80 and 97,386,586,543.20 is: 146,079,879,814.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,386,586,543.20 : 146,079,879,814.80 = 97,386,586,543.20 : x
  2. Step 2: Convert to fraction form
    97,386,586,543.20/146,079,879,814.80 = 97,386,586,543.20/x
  3. Step 3: Cross multiply
    97,386,586,543.20x = 146,079,879,814.80 × 97,386,586,543.20
  4. Step 4: Simplify right side
    97,386,586,543.20x = 14,226,220,857,804,273,483,776
  5. Step 5: Solve for x
    x = 14,226,220,857,804,273,483,776/97,386,586,543.20
  6. Step 6: Final answer
    x = 146,079,879,814.80

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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.