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Finding the Fourth Proportional to 435,230,854.80, 610,129,412.40 and 435,230,854.80

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Solution

The fourth proportional to 435,230,854.80, 610,129,412.40 and 435,230,854.80 is: 610,129,412.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,230,854.80 : 610,129,412.40 = 435,230,854.80 : x
  2. Step 2: Convert to fraction form
    435,230,854.80/610,129,412.40 = 435,230,854.80/x
  3. Step 3: Cross multiply
    435,230,854.80x = 610,129,412.40 × 435,230,854.80
  4. Step 4: Simplify right side
    435,230,854.80x = 265,547,145,697,473,728
  5. Step 5: Solve for x
    x = 265,547,145,697,473,728/435,230,854.80
  6. Step 6: Final answer
    x = 610,129,412.40

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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.