Finding the Fourth Proportional to 2,602,442,196,235.10, 3,903,663,294,352.70 and 926,803,526,923.10
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Solution
The fourth proportional to 2,602,442,196,235.10, 3,903,663,294,352.70 and 926,803,526,923.10 is: 1,390,205,290,384.67
Step by Step Solution
- Step 1: Write the proportion equation
2,602,442,196,235.10 : 3,903,663,294,352.70 = 926,803,526,923.10 : x - Step 2: Convert to fraction form
2,602,442,196,235.10/3,903,663,294,352.70 = 926,803,526,923.10/x - Step 3: Cross multiply
2,602,442,196,235.10x = 3,903,663,294,352.70 × 926,803,526,923.10 - Step 4: Simplify right side
2,602,442,196,235.10x = 3,617,928,909,126,329,719,324,672 - Step 5: Solve for x
x = 3,617,928,909,126,329,719,324,672/2,602,442,196,235.10 - Step 6: Final answer
x = 1,390,205,290,384.67
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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.