Finding the Fourth Proportional to 297,930,742,079.80, 446,896,113,119.70 and 297,930,742,079.80
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Solution
The fourth proportional to 297,930,742,079.80, 446,896,113,119.70 and 297,930,742,079.80 is: 446,896,113,119.70
Step by Step Solution
- Step 1: Write the proportion equation
297,930,742,079.80 : 446,896,113,119.70 = 297,930,742,079.80 : x - Step 2: Convert to fraction form
297,930,742,079.80/446,896,113,119.70 = 297,930,742,079.80/x - Step 3: Cross multiply
297,930,742,079.80x = 446,896,113,119.70 × 297,930,742,079.80 - Step 4: Simplify right side
297,930,742,079.80x = 133,144,090,614,330,459,947,008 - Step 5: Solve for x
x = 133,144,090,614,330,459,947,008/297,930,742,079.80 - Step 6: Final answer
x = 446,896,113,119.70
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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.