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Finding the Fourth Proportional to 426,506,426.40, 598,830,865.80 and 426,506,426.40

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Solution

The fourth proportional to 426,506,426.40, 598,830,865.80 and 426,506,426.40 is: 598,830,865.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,506,426.40 : 598,830,865.80 = 426,506,426.40 : x
  2. Step 2: Convert to fraction form
    426,506,426.40/598,830,865.80 = 426,506,426.40/x
  3. Step 3: Cross multiply
    426,506,426.40x = 598,830,865.80 × 426,506,426.40
  4. Step 4: Simplify right side
    426,506,426.40x = 255,405,212,590,375,936
  5. Step 5: Solve for x
    x = 255,405,212,590,375,936/426,506,426.40
  6. Step 6: Final answer
    x = 598,830,865.80

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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.