Finding the Fourth Proportional to 1,412,258,486.40, 2,118,387,729.60 and 442,908,547.20
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Solution
The fourth proportional to 1,412,258,486.40, 2,118,387,729.60 and 442,908,547.20 is: 664,362,820.80
Step by Step Solution
- Step 1: Write the proportion equation
1,412,258,486.40 : 2,118,387,729.60 = 442,908,547.20 : x - Step 2: Convert to fraction form
1,412,258,486.40/2,118,387,729.60 = 442,908,547.20/x - Step 3: Cross multiply
1,412,258,486.40x = 2,118,387,729.60 × 442,908,547.20 - Step 4: Simplify right side
1,412,258,486.40x = 938,252,031,723,442,432 - Step 5: Solve for x
x = 938,252,031,723,442,432/1,412,258,486.40 - Step 6: Final answer
x = 664,362,820.80
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1.5x scale
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.