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Finding the Fourth Proportional to 564,875,978.16, 779,740,307.16 and 424,153,713.60

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Solution

The fourth proportional to 564,875,978.16, 779,740,307.16 and 424,153,713.60 is: 585,490,903.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,875,978.16 : 779,740,307.16 = 424,153,713.60 : x
  2. Step 2: Convert to fraction form
    564,875,978.16/779,740,307.16 = 424,153,713.60/x
  3. Step 3: Cross multiply
    564,875,978.16x = 779,740,307.16 × 424,153,713.60
  4. Step 4: Simplify right side
    564,875,978.16x = 330,729,746,925,518,656
  5. Step 5: Solve for x
    x = 330,729,746,925,518,656/564,875,978.16
  6. Step 6: Final answer
    x = 585,490,903.69

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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.