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Finding the Fourth Proportional to 1,009,804,592.86, 1,515,638,005.74 and 512,164,368.48

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Solution

The fourth proportional to 1,009,804,592.86, 1,515,638,005.74 and 512,164,368.48 is: 768,718,807.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009,804,592.86 : 1,515,638,005.74 = 512,164,368.48 : x
  2. Step 2: Convert to fraction form
    1,009,804,592.86/1,515,638,005.74 = 512,164,368.48/x
  3. Step 3: Cross multiply
    1,009,804,592.86x = 1,515,638,005.74 × 512,164,368.48
  4. Step 4: Simplify right side
    1,009,804,592.86x = 776,255,782,054,113,792
  5. Step 5: Solve for x
    x = 776,255,782,054,113,792/1,009,804,592.86
  6. Step 6: Final answer
    x = 768,718,807.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.