Finding the Fourth Proportional to 1,163,742,721,327.30, 1,605,732,038,224.80 and 649,829,442,668.70
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Solution
The fourth proportional to 1,163,742,721,327.30, 1,605,732,038,224.80 and 649,829,442,668.70 is: 896,634,570,813.72
Step by Step Solution
- Step 1: Write the proportion equation
1,163,742,721,327.30 : 1,605,732,038,224.80 = 649,829,442,668.70 : x - Step 2: Convert to fraction form
1,163,742,721,327.30/1,605,732,038,224.80 = 649,829,442,668.70/x - Step 3: Cross multiply
1,163,742,721,327.30x = 1,605,732,038,224.80 × 649,829,442,668.70 - Step 4: Simplify right side
1,163,742,721,327.30x = 1,043,451,955,474,897,427,234,816 - Step 5: Solve for x
x = 1,043,451,955,474,897,427,234,816/1,163,742,721,327.30 - Step 6: Final answer
x = 896,634,570,813.72
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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.