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Finding the Fourth Proportional to 570,868,324.10, 800,828,085.10 and 570,868,324.10

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Solution

The fourth proportional to 570,868,324.10, 800,828,085.10 and 570,868,324.10 is: 800,828,085.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,868,324.10 : 800,828,085.10 = 570,868,324.10 : x
  2. Step 2: Convert to fraction form
    570,868,324.10/800,828,085.10 = 570,868,324.10/x
  3. Step 3: Cross multiply
    570,868,324.10x = 800,828,085.10 × 570,868,324.10
  4. Step 4: Simplify right side
    570,868,324.10x = 457,167,386,833,249,216
  5. Step 5: Solve for x
    x = 457,167,386,833,249,216/570,868,324.10
  6. Step 6: Final answer
    x = 800,828,085.10

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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.