Finding the Fourth Proportional to 84,209,643,432.74, 116,249,379,688.55 and 56,416,355,243.62
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Solution
The fourth proportional to 84,209,643,432.74, 116,249,379,688.55 and 56,416,355,243.62 is: 77,881,416,355.82
Step by Step Solution
- Step 1: Write the proportion equation
84,209,643,432.74 : 116,249,379,688.55 = 56,416,355,243.62 : x - Step 2: Convert to fraction form
84,209,643,432.74/116,249,379,688.55 = 56,416,355,243.62/x - Step 3: Cross multiply
84,209,643,432.74x = 116,249,379,688.55 × 56,416,355,243.62 - Step 4: Simplify right side
84,209,643,432.74x = 6,558,366,301,360,165,486,592 - Step 5: Solve for x
x = 6,558,366,301,360,165,486,592/84,209,643,432.74 - Step 6: Final answer
x = 77,881,416,355.82
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1.5x scale
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.