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Finding the Fourth Proportional to 384,912,405.80, 577,368,608.70 and 97,698,069.80

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Solution

The fourth proportional to 384,912,405.80, 577,368,608.70 and 97,698,069.80 is: 146,547,104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,912,405.80 : 577,368,608.70 = 97,698,069.80 : x
  2. Step 2: Convert to fraction form
    384,912,405.80/577,368,608.70 = 97,698,069.80/x
  3. Step 3: Cross multiply
    384,912,405.80x = 577,368,608.70 × 97,698,069.80
  4. Step 4: Simplify right side
    384,912,405.80x = 56,407,798,633,101,488
  5. Step 5: Solve for x
    x = 56,407,798,633,101,488/384,912,405.80
  6. Step 6: Final answer
    x = 146,547,104.70

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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.