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Finding the Fourth Proportional to 760,397,256,022.95, 1,140,595,884,034.40 and 760,397,256,022.95

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Solution

The fourth proportional to 760,397,256,022.95, 1,140,595,884,034.40 and 760,397,256,022.95 is: 1,140,595,884,034.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,397,256,022.95 : 1,140,595,884,034.40 = 760,397,256,022.95 : x
  2. Step 2: Convert to fraction form
    760,397,256,022.95/1,140,595,884,034.40 = 760,397,256,022.95/x
  3. Step 3: Cross multiply
    760,397,256,022.95x = 1,140,595,884,034.40 × 760,397,256,022.95
  4. Step 4: Simplify right side
    760,397,256,022.95x = 867,305,980,450,828,525,240,320
  5. Step 5: Solve for x
    x = 867,305,980,450,828,525,240,320/760,397,256,022.95
  6. Step 6: Final answer
    x = 1,140,595,884,034.40

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