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Finding the Fourth Proportional to 426,506,424.90, 598,830,863.70 and 426,506,424.90

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Solution

The fourth proportional to 426,506,424.90, 598,830,863.70 and 426,506,424.90 is: 598,830,863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,506,424.90 : 598,830,863.70 = 426,506,424.90 : x
  2. Step 2: Convert to fraction form
    426,506,424.90/598,830,863.70 = 426,506,424.90/x
  3. Step 3: Cross multiply
    426,506,424.90x = 598,830,863.70 × 426,506,424.90
  4. Step 4: Simplify right side
    426,506,424.90x = 255,405,210,796,466,208
  5. Step 5: Solve for x
    x = 255,405,210,796,466,208/426,506,424.90
  6. Step 6: Final answer
    x = 598,830,863.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.