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Finding the Fourth Proportional to 506,822,705.76, 699,415,339.92 and 275,035,697.76

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Solution

The fourth proportional to 506,822,705.76, 699,415,339.92 and 275,035,697.76 is: 379,549,266.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,822,705.76 : 699,415,339.92 = 275,035,697.76 : x
  2. Step 2: Convert to fraction form
    506,822,705.76/699,415,339.92 = 275,035,697.76/x
  3. Step 3: Cross multiply
    506,822,705.76x = 699,415,339.92 × 275,035,697.76
  4. Step 4: Simplify right side
    506,822,705.76x = 192,364,186,038,944,768
  5. Step 5: Solve for x
    x = 192,364,186,038,944,768/506,822,705.76
  6. Step 6: Final answer
    x = 379,549,266.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.