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Finding the Fourth Proportional to 707,430,862.96, 976,258,592.96 and 410,249,553.91

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Solution

The fourth proportional to 707,430,862.96, 976,258,592.96 and 410,249,553.91 is: 566,146,705.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,430,862.96 : 976,258,592.96 = 410,249,553.91 : x
  2. Step 2: Convert to fraction form
    707,430,862.96/976,258,592.96 = 410,249,553.91/x
  3. Step 3: Cross multiply
    707,430,862.96x = 976,258,592.96 × 410,249,553.91
  4. Step 4: Simplify right side
    707,430,862.96x = 400,509,652,258,152,448
  5. Step 5: Solve for x
    x = 400,509,652,258,152,448/707,430,862.96
  6. Step 6: Final answer
    x = 566,146,705.25

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Why These Related Problems?

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